"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi *52D18 ;1F1C=5<9>7;1A 45>71> :1A9:1A9 3= 491<9A9 1ADB<9BCA9; +5>CD;1> =541>=17>5C 1 49 C9C9; @DB1C<9>7;1A1> 41> 2 49 C9C9;'G1>725A141@141BD=2D41>25A:1A1; 3=41A9@DB1C<9>7;1A1> !5!" fl9;5C18D9fl 3=41> 3= 1 $541>=17>5C 49 C9C9; @DB1C<9>7;1A1> 141<18 .2= = fl + 3 fl1A9ffl%12!-!!. 749@5A?<58 B9> 3= 3= =1;1=541>=17>5C49 C9C9;'141<18 B9> + + +9C9;&141<18@DB1C<9>7;1A1>G1>7491=5C5A>G1 3=B5@5AC9C5A<981C@14171=21A 25A9;DC !9;1 ;D1C 1ADB G1>7=5>71<9A @141 ;1F1C 141<18 C5>CD;1> 25B1A =541>=17>5C49C9C9;& !5!" '5A81C9;1>218F1:D=<18<9<9C1>>G12D;1><9<9C1><9>7;1A1>C5C1@9 3 4 <9>7;1A1> 49@5A?<58 41A9 <9<9C1> 5B1A=541>=17>5C49 C9C9;&G1>74981B9<;1>;1F1C 3 4 <9<9C1> 141<18 .2= = fl + O 90° i
ffi5+;290 (.5,: fl fl ffl*)&2ffl&+2*730*,586ffi-675-/4&)*23-)& )&2$353-)& fflfi fl141<18;D=@1A1>;1F1CG1>7C5A49A91C1B21>G1;<9<9C1>B5@5AC9 C5A<981C@141!-"!1 !$541>=17>5C4941<1=B?<5>?941=5AD@1;1> A5BD<C1>=541>=17>5C G1>7 4981B9<;1> ?<58 B5C91@<9<9C1> 5B1A=541> =17>5C49C5>718C5>718B?<5>?941=5=5>D89@5AB1=11> fl L B541>7;1>49D:D>7B?<5>?941 D L 45>71> ? =541>=17>5C49 C5>718C5>718B?<5>?941 + D =541>=17>5C49D:D>7B?<5>?941+ :D=<18<9<9C1>B?<5>?941=41> @1>:1>7B?<5>?941 &1'&5 ,+(54(.5,:63,/(8;9 309:802 7(+( ( 963,560+( +(5 ) :6860+( *?<5>?941 G1>7 C5A49A9 1C1B <9<9C1> C91@ 3= 491<9A9 1ADB<9BCA9; +5>CD;1> =541>=17>5C 1 49 C5>718C5>718 B?<5>?941 41> 2 49 D:D>7 B?<5>?941 @ 3,2:864(.5,: @ $63,560+( @ %6860+( fl&7&fl82(- # fl141<18B?<5>?941G1>7=5<9>7;1AB5@5AC9C5A<981C@141!-"!1 "$541>=17>5C9;4941<1=BD=2D<9<9C1>C?A?941=5=5>D89@5AB1=11> fl L 45>71>:1A9:1A9 C?A?941 = $541>=17>5C G1>7 4981B9<;1> B?<5>?941 3D;D@ 25B1A *?<5>?941 25AC9>41;B5@5AC9B52D18=17>5C!9;1;541<1=B?<5>?94149=1BD;;1>9>C9 25B9=541>=17>5C>G1 1;1>=5>:149<5298 25B1A *?<5>?941 45>71>9>C9 25B9 49 41<1=>G1 49B52DCfflffi%# fffi% *5C91@ D:D>7 5<5;CA?=17>5C 1;1> =5>:149 ;DCD2,41> ;DCD2 *fl5>71>=5>77D>1;1> 1CDA1> C1>1> ;1>1> 41>=5>79>71C 218F1 71A9B 71G1=17>5C B5<1<D ;5<D1A 41A9 ;DCD2, 41> =1BD; ;5 ;DCD2 * ;DCD2;DCD2=17>5C B?<5>?941 41@1C 49C5>CD;1> ffi<5;CA?=17>5C 21>G1; 497D>1;1> 41<1= @5A1<1C1> 5<5;CA9;=9B1<>G1 25< <9BCA9; A5<1G C5<5@?> 41> C5<57A16 ffl02((8;9309:802+0/0+;72(5 ,3,2:864(.5,:(2(54,5(802 76:65.(5),90+0+,2(:5>( ,8(2(5),90050+09,);: (84(:;8+(5+(7(:+0.;5(2(5 ;5:;24,5./0+;72(59082;0: 309:802:,8709(/"(+(),3309:802 050 (84(:;81;.(4,4(:02(5 9082;0:5>( 9,5+080 #81'*5ffffi #fl *0&.&, -6-/& ! "
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi +?A?941 45>71> <9<9C1> 41> :1A9:1A9 3= 491<9A9 1ADB +5>CD;1> 25B1A =541>=17>5C4941<1=BD=2D<9<9C1> C?A?941 !5!" fl9;5C18D9 3= =41>fl $541>=17>5C4941<1= BD=2D 25<9C1> C?A?941 141<18 .2= = fl + ff,8,:((704(.3,< fflff#ffi%##fiff 4,403020 ,3,2:864(.5,: +0 )(.0(5)(=(/5>(ff,8,:( :,89,);:),8.,8(2+0(:(9 8,3+,5.(54,5..;5(2(5 ,3,2:864(.5,:>(5. :,8+(7(:+0(5:(8( 2,+;(5>(ff,+;(4(.5,: 9(305.4,563(29,/05..( 2,8,:(9,+020:4,3(>(5.+0 (:(98,3ff,(+((5 :,89,);:+(7(: 4,5.;8(5.0 1;43(/ .,9,2(5(5:(8(2,8,:(+(5 8,39,/05..(2,8,:(/(5>( 4,4);:;/2(59,+020: ,5,8.0;5:;2),8.,8(2 Loncatan fl8&2781 ffi% ff# ffi%##fiff#!ff"% ffi#!fifflff#"fiff# fi##fiffl'!$fffiff #!fl"&# ffi#!fifflff#"fiff#ffl fflff#!ffi fi#!"fi##!fffi%!" $"#fiv##!fl" !$"#fflfi$ff#fi !#fiff#&ff##!ff ff##!fl"fi##!ff ff"ffi""ff!'#fifflfl #fflfi% #81'*5 ffff'ffifi !8&2781 Leap #81'*5&&&fi$fl !5!" fl9;5C18D9 N L <9<9C1>3= <9<9C1>=41>fl 1 $541>=17>5C 49 C5>718C5>718 B?<5>?941 141<18 .2= fl fl + 2 $541>=17>5C 49 D:D>7 B?<5>?941 141<18 + + ,!3 $!.!(!. *5;AD@ 25B921:1 25AD;DA1> 25B1A "125< = 1C5A19 - "1<5>7 25;1B=9>D=1= A9>71> <1C;9;9A;D;D41A921:1%fflfiflfflflffl '1;D @1GD>7 41> !!# fflfl!$ '<1BC9B9> )?< 25>1>7 ffl1/2%$41 #9<9C;1> ;125< @141 B5;AD@ D1C<18 B1;5<1AB545A81>141A9!!#fflfl!$41> 4D1 2D18 @1;D @1GD>7 "5=D491> @1B1>7<18 1<1C ;9;9A ;D;D @141 A?< 25>1>7 B5@5AC9 @141 71=21A "D1C;1> 21791> 21F18 ;1<5>7 A?< 25>1>7 ;D=@1A1> ;125< 41> B1;5<1A =5>77D>1;1> @<1BC9B9> 45>71> @?B9B9 B5@5AC9 @141 71=21A fiD2D>7;1> ;125< 41A9 ;D=@1A1> ;5 1<1C ;9;9A 41> B1;5<1A B541>7;1> ;DCD2;DCD2 21C5A19498D2D>7;1> ;5 B1;5<1A41> ;1<5>7 ;C96;1> B1;5<1A ;5=D491> 1=1C9 G1>7 C5A:149 @141 1<1C ;9;9A 41> ;1<5>7 $5>71@1 45=9;91> fl9B;DB9;1> 81B9< @5A3?211> G1>7 C5<18 49<1;D;1> ;5=D491> 2D1C<18 ;5B9=@D<1> 41A9 81B9< ;5791C1> C5AB52DC %-"4!3,!1-ff%$%1(!.!$%.'!.%-!.&!!3+!.,%+31/-!'.%3 ffl&,-5ffl*2*0-7- ;1<5>7 21C5A19 A?< 25>1>7 <9<9C1> ;125< @141B5;AD@ B1;5<1A 1<1C ;9;9A ;D;D
ffi5+;290 (.5,: &;&ffl&+2*74&)&fl&:&7*5&586ffi-675-/)-)&0&1 ffl*)&2ffl&+2*7 *5<19>=5>D>:D;;1> 218F1 1ADB<9BCA9;=5>781B9<;1>=541>=17>5C =5>G9=@1>7>G1:1AD=;?=@1BB11C25A14145;1C;1F1C25A1ADB<9BCA9;:D71 =5>D>:D;;1>218F11ADB<9BCA9;C5<18=5>75A18;1>71G1@141B52D18=17>5C :1AD=;?=@1B'5AC1>G11>>G1141<1841@1C;18=17>5C=5>75A18;1>71G1 @141 ;1F1C 25A1ADB<9BCA9;fiD;D= "5C971%5FC?> fiD;D=;B9)51;B9 =5=D>7;9>;1>@5A9BC9F19CDC5A:149fi1B9<5;B@5A9=5>&5ABC54=5>D>:D;;1> 218F1;1F1C25A1ADB<9BCA9;=5>71<1=971G1;5C9;125A1414941<1==541> =17>5CG1>74981B9<;1>B52D18=17>5CC5C1@ ,>CD;=5>75C18D9 @A?B5B C5A:149>G1 71G1=17>5C @141 ;1F1C 25A1ADB <9BCA9;@5A81C9;1>!-"!1 *52D18;1F1C<DADB49<5C1;;1>491>C1A14D1 ;DCD2=17>5C"5C9;1;1F1C498D2D>7;1>45>71>21C5A191ADB<9BCA9;B575A1 =5>71<9A@141;1F1C41>C5A>G1C1;1F1C25A75A1;;521F18!-"!1 ! "5C9;11A181ADB@141;1F1C4921<9;71G1@141;1F1C;51C1B!-"!1 " '5A9BC9F1C5AB52DC=5>D>:D;;1>218F11A1871G1@141;1F1CC941;=5>D:D ;5B1<18B1CD;DCD2=17>5CC5C1@9B5<1<DC571;<DADBC5A8141@=541>=17>5C 41>:D71C571;<DADB1A181ADB@141;1F1CA1871G1=17>5C41@1C49C5>CD;1> =5>77D>1;1> 1CDA1> C1>71> ;1>1> B5@5AC9 @141 !-"!1 # 2D :1A9 =5>D>:D;;1>1A181ADBfl5=@1C:1A9<19>>G1=5>D>:D;;1>1A18=541>=17>5C 41>C5<1@1;C1>71>=5>D>:D;;1>1A1871G1=17>5C &;&ffl&+2*7 fl ff fl ff *52D18;1F1C=5<9>7;1A25A141491C1B2941>741C1A !9;1 1ADB<9BCA9; @141 ;1F1C B51A18 @DC1A1> :1AD= :1= ;5=1>1 1A18=541>=17>5C9; 49 BD=2D <9>7;1A1> ;1F1C *52D18 ;1F1C<DADB @1>:1>7=5<9>C1>7 41A9 C9=DA ;521A1C41>491<9A91ADB<9BCA9;=5>D:D;521A1C +5>CD;1>25B1A41>1A18=541>=17>5C9;@141C9C9; 'G1>725A:1A1; 3=41A9;1F1C:9;1C9C9;' 1 C5@1C49 1C1B;1F1C 2 C5@1C49 21F18 ;1F1C 3 C5@1C49DC1A1;1F1C41> 4 C5@1C 49 B5<1C1> ;1F1C %1*!+!.,!( $) $!,!- "4+4 ,!3)(!..$! *52D18;1F1C=5<9>7;1A25A:1A9:1A93=491<9A91ADB <9BCA9; +5>CD;1>25B1A=541>=17>5C9; 1 49 @DB1C<9>7;1A1> 41> 2 49 C9C9; ' @141 BD=2D<9>7;1A1> G1>7 25A:1A1; 3=41A9@DB1C;1F1C $541>=17>5C 49 C5>718C5>718 B?<5>?941 B1=1 45>71>=541>=17>5C 49 41<1= BD=2D 25<9C1> C?A?941 ;5C9;1 ;54D1>G1 491<9A9 1ADB<9BCA9; G1>7 B1=1'1>:1>7B?<5>?941 3=41>:1A9:1A9C?A?941 3= !9;1 C?A?941=5=9<9;9 <9<9C1> 25A1@1;18 :D=<18<9<9C1> B?<5>?941 &1'&5 (>(4(.5,:7(+(2(=(: ),8(8;9309:802+0+(3(4 4,+(54(.5,:4,5.(8(/ (2, )(=(/ )2,(:(9+(5 *+0:,5:;2(563,/(:;8(5 :(5.(52(5(5 @ :;8(5:(5.(52(5(5 @ (>(4(.5,: fl&7&fl82(- #3&0 *2+8&6&&2 %#fl ! " #
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi 5B1A71G1=17>5C@141;1F1C25A1ADB<9BCA9;B521>49>745>71>=541> =17>5C;D1C1ADB<9BCA9;@141;1F1C41>@1>:1>7;1F1C5B1A71G1=17>5C :D7125A71>CD>7@141BD4DC1>C1A11A181ADB@141;1F1C41>1A18=541> =17>5C!-"!1 fl 8 fl *52D18 ;1F1C<DADB B5@1>:1>7 3= 25A14141<1==541>=17>5C + B5@5AC9 49CD>:D;;1> @141 !-"!1 ! "1F1C 491<9A9 1ADB<9BCA9; +5>CD;1> 25B1A 41> 1A18 71G1 G1>7 491<1=9 ;1F1C !5!" fl9;5C18D9ffl 3= = +fl 41> I 5B1A 71G1 G1>7 491<1=9 ;1F1C 141<18 flffl B9> + = % *5@5AC9 @141!-"!1 " 1A18>G1=1BD; 2941>7 71=21A &;&ffl&+2*727&5/&:&7*5&586ffi-675-/ +5<18>41;5C18D9218F149B5;9C1A1ADB<9BCA9;C5A41@1C=541>=17>5C !9;1141;1F1C25A1ADB<9BCA9;41<1==541>=17>5C;1F1C41@1C=5>71<1=9 71G1=17>5Cfl5>71>45=9;91>:9;11414D1;1F1C25A1ADB<9BCA9;1>C1A;1F1C 41@1CC5A:14971G19>C5A1;B9,>CD;=5=181=9@A?B5BC5A:149>G171G19>C5A1;B9 1>C1A;1F1C25A1ADB<9BCA9; C5AB52DC C9>:1D<18!-"!1 &1'&5 (ff(=(:),8(8;9309:802 +(3(44,+(54(.5,: )8(/.(>(4(9;2)0+(5. .(4)(8 !-"!1 !=5=@5A<981C;1> 4D1 2D18 ;1F1C<DADB B5:1:1A C5A@9B18 @141:1A1;25A1ADBfl 41>fl 45>71>1A18G1>7B1=11G1>7;1>@1411F1<>G1 81>G1141;1F1Cfl 45>71>=541>=17>5CG1>74981B9<;1>>G1 *5BD191CDA1> &1'&5 (>(05:,8(290(5:(82(=(: ),8(8;9 309:802 ((>(7(+(2(=(: )(>(7(+(2(=(: XXXXXX XXXXXX XXXXXX XXXXXX fl fl fl fl "5C9;11A181ADBC571;<DADB=541>=17>5C I71G1=17>5C@141 ;1F1C=1;B9=D= "5C9;1 1A18 1ADB B51A18 1C1D 25A<1F1>1> 1A18=541> =17>5C I 1C1D I ;1F1C C941;=5>71<1=9 71G1 '141 BD4DC <19>>G1 71G1=17>5C B521>49>7 45>71> B9> *531A1=1C5=1C9B 71G1 =17>5C49CD<9B flffl B9> L 45>71> 71G1=17>5C% ffl @1>:1>7;1F1CG1>725A14141<1==541>=17>5C=41> BD4DC1>C1A11A181ADB@141;1F1C41>=541>=17>5C ! " ! "
ffi5+;290 (.5,: flD1 2D18 ;1F1C<DADB B5:1:1A C5A@9B18 @141 :1A1; 3= "54D1 ;1F1C 491<9A9 1ADB =1B9>7=1B9>7 41> 45>71> 1A18 B1=1 +5>CD;1> 71G1 C1A9;=5>1A9; 1>C1A;1F1C @5A B1CD1> @1>:1>7 !5!" fl9;5C18D93=M L =fl 41>fl ff1G1 1>C1A;1F1C @5A B1CD1> @1>:1>7 141<18 .2= = flfl ffl %= +971;1F1C<DADBB5:1:1A45>71>1ADB=1B9>7=1B9>7 41>1A18>G1B1=1B5@5AC9 49@5A<981C;1>@14171=21A25A9;DC+5>CD;1>71G1@5AB1CD1>@1>:1>7G1>7491<1=9 ;1F1Cfl !5!" ff1G1 @141 ;1F1Cfl ?<58 ;1F1Cfl 41> ?<58 ;1F1Cfl 49@5A<981C;1> @141 71=21A25A9;DC & $ #3086- *5)&6 $,76:65.2(=(:),8(8;9 309:802),8(+(+0+(3(44,+(5 4(.5,:/646.,59,7,8:07(+( .(4)(8+0 9(4705. ff(=(: :,89,);:(2(5 4,5.(3(40 .(>(4(.5,: >(5.(8(/5>( ( 4,5,4);9 2,8:(9 4,5+,2(:07,4)(*( ) 4,5,4);92,8:(9 4,51(;/0 7,4)(*( * 2,(:(9 + 2,)(=(/ , 2,9,.(3((8(/ *2;*0*6&-&2 ,5.(54,5..;5(2(5(:;8(5 :(5.(52(5(5+07,863,/ )(/=(.(>(4,5,4);92,8:(9 4,51(;/0 7,4)(*( & $ &:&'' %ff C1>71> ;1>1> 1A18=541>=17>5C 49 B525<18 ;1>1> ;1F1C 141<18=1BD; 2941>771=21AM*5<1>:DC>G1B9=@1>;1F1C25A1ADB<9BCA9;fl 41<1==541> =17>5C "1F1Cfl 1;1>=5>41@1C71G1=17>5C 45>71>1A18=5>D:D ;1F1Cfl B5@5AC9 @141 !-"!1 ! 7D>1;1> 1CDA1> C1>71> ;1>1> D>CD; =5>5>CD;1>71G15B1A71G1G1>7491<1=9;1F1Cfl 141<18 fl flflffl flffl flffl L fi1<B5AD@1C5A:149;5C9;1>4121G1>7;1>B521<9;>G1!-"!1" F1<>G1 81>G1 141 ;1F1Cfl 45>71>=541>=17>5C "1F1C fl 25A141 41<1==541>=17>5C G1>7 4981B9<;1> ;1F1Cfl fl5>71> 1CDA1> C1>71> ;1>1>71G1@141;1F1Cfl =5>D:D;1F1Cfl 5B1A71G19>9141<18 fl flflffl flffl flffl L !-"!1 =5>D>:D;;1> 218F1 1>C1A;1F1C 25A1ADB<9BCA9; 45>71> 1A18 B1=1 C5A:149 71G1 C1A9;=5>1A9;fl1A9ffl%12!-!!. 7 41>7 49@5A?<58218F171G171G1C5AB52DC 41> =5AD@1;1>@1B1>71>71G1 1;B9A51;B9!9;149>G1C1;1>41<1=%=71G1@5AB1CD1>@1>:1>749@5A?<58 fl fl ffl L !9;11A181ADB@141;1F1C25A<1F1>1>;54D1;1F1C1;1>B1<9>7=5>?<1; 3= 3= fl fl fl fl fl fl 3= 3= ! "
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi &1'&5 ( ;(:(5),8.,8(2+(3(4 4,+(54(.5,:+(7(: 4,5.(3(40 .(>( )8(/.(>(7(+(4;(:(5 7690:0- *8(/.(>(7(+(4;(:(5 5,.(:0- 5B1A=1B9>7=1B9>7 71G1 C5AB52DC 141<18 .2= = flfl ffl %= .2= = flfl ffl %= &<58 ;1A5>1 41> 25A<1F1>1> 1A18 A5BD<C1> 71G1 @141fl 141<18 %= %= ffl ffl % A18>G1=5>D:D ;1F1Cfl &;&ffl&+2*74&)&ffl8&7&2;&2+*5+*5&/)-)&0&1 ffl*)&2ffl&+2*7 ff1G1 @141 ;1F1C 25A1ADB<9BCA9; 41@1C 49@1>41>7 B521719 71G1 C?C1< @141B5C91@=D1C1>'1>41>71>9>94941B1A9?<584569>9B9218F11ADB<9BCA9; 141<18<1:D1<9A1>=D1C1>=D1C1><9BCA9;$9B1<>G1 @1AC9;5<25A=D1C1>" =5>71<9A=5<9>C1B9 @5>1=@1>7 ;1F1C 45>71> ;535@1C1> v fl1<1= B5<1>7 F1;CD%1ADB<9BCA9;>G1141<18 " fl % 41>:1A1;G1>749C5=@D8=D1C1>141<18 ffl v% fl5>71>45=9;91>71G1@141 @1AC9;5<141<18 sin ( )sin sin Nq F Bil B vt NBqv t ff1G1@141B52D18=D1C1>141<1871G1C?C1<@141 =D1C1>492179 G19CD F Bqv sin L 45>71> BD4DC1>C1A1;535@1C1>41>=541>=17>5C A1871G1=17>5C@141=D1C1>49C5>CD;1>45>71>1CDA1>C1>71>;1>1> B5@5AC9C5A<981C@141!-"!1fl1<1=81<9>9D>CD;=D1C1>@?B9C9692D :1A9=5F1;9<9 1A18 ;535@1C1> v B541>7;1> D>CD;=D1C1> >571C9692D :1A9 =5F1;9<9 ;521<9;1> 41A9 1A18 ;535@1C1> v !-"!1 =5=@5A<981C;1> 1A18 71G1 @141=D1C1> 1;921C=541>=17>5C '5A81C9;1> 218F1 B5<1<D C571;<DADBv41> &1'&5 :;8(5:(5.(52(5(5;5:;2 4;(:(5>(5.),8.,8(2+0+(3(4 4,+(54(.5,: $D1C1><9BCA9; 25A75A1;41<1==541>=17>5CB525B1A +45>71>;535@1C1> =B !9;11A18;535@1C1>=5=25>CD;BD4DC I C5A8141@1A18=541>=17>5C C5>CD;1> 25B1A 71G1 G1>7491<1=9=D1C1> C5AB52DC v v v " v ! " #
ffi5+;290 (.5,: *52D18 5<5;CA?> 49C5=21;;1> 45>71> ;535@1C1> M =B B51A18 1ADB @141 ;1F1C<DADB @1>:1>7 25A1ADB<9BCA9; !1A1; 1>C1A1 5<5;CA?> 41> ;1F1C 141<18 3=+5>CD;1><1825B1A41> 1A1871G1=D<1=D<1G1>725;5A:1@1415<5;CA?> !5!" fl9 B5;9C1A 1ADB<9BCA9; C5A41@1C=541>=17>5C&<58 ;1A5>19CD ;5C9;1 @1AC9;5< 25A=D1C1><9BCA9; 25A75A1; 49 415A18 B5;9C1A 1ADB<9BCA9; @1AC9;5< C5AB52DC 41@1C =5>71<1=9 71G1 45>71> BG1A1C 1A18 75A1;>G1 C941; B5:1:1A=541> =17>5C $9B1<>G1 1A18 1ADB 41> 1A18 75A1; 5<5;CA?> B5AC1 @?B9B9 5<5;CA?> B5@5AC9 499<DBCA1B9;1> @141 !-"!1 ! fl5>71>=5>77D>1;1>1CDA1>C1>71>;1>1>1A18=541>=17>5C49415A1821F18 ;1F1C G1>7 4981B9<;1> 1ADB<9BCA9; 141<18=1BD; 2941>7 ;5AC1B M *5<1>:DC>G1 1A18 71G1=17>5C @141 5<5;CA?> 49C5>CD;1> 45>71>=5>77D>1;1> 1CDA1> C1>71> ;1>1> D>CD; 71G1 @141=D1C1> >571C96fi1B9<>G1 141<18 1A18 71G1=17>5C @141 5<5;CA?>=5>:1D89 C571;<DADB ;1F1C 5B1A=541>=17>5C 49 B5;9C1A 1ADB<9BCA9; @141 ;1F1C<DADB @1>:1>7 141<18 .2= = fl + *5<1>:DC>G141A9!-"!1 " C5A<981C218F1BD4DC1>C1A1 41> 141<18 I fl5>71>45=9;91>25B1A71G1@1415<5;CA?>9>71C=D1C1>5<5;CA?>"M L 141<18 F Bqv 5 19 6 18 sin (10 T)(1,6 10 C) 5 10 m/s (1) 8 10 % !14971G1@1415<5;CA?> 141<18 M L%=5>:1D89;1F1C !5!" fl9;5C18D9" M L +v =B41> I ff1G1 @141=D1C1> C5AB52DC 141<18 65 2 F Bqv sin (0,25T)(5 10 C)(10 m/s)(0,5) 6,25 10 % *52D185<5;CA?>49C5=21;;1>45>71>;535@1C1> M =B=5<1<D9AD1>725A=541> <9BCA9;41>25A=541>=17>5CG1>7B1<9>7C571;<DADB41>C571;<DADB@D<145>71> 1A1875A1;5<5;CA?>!9;125B1A=541>=17>5C C5B<1C5>CD;1>25B1A=541><9BCA9; B589>7715<5;CA?> C5C1@25A75A1;<DADB " fl v " 7 7 v fl 3= 7 ! "
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi +5A41@1C C971=131=<9>C1B1>@1AC9;5<25A=D1C1><9BCA9;41<1==541> =17>5CB5A171=B5A21B1=11C1D8?=?75>G1;>9<9>C1B1><DADB=5<9>7;1A 41>B@9A1<1C1D85<9;B$131==131=<9>C1B1>G1>7C5A:14925A71>CD>7@141 BD4DC1>C1A11A1875A1;;535@1C1>=D1C1>41>=541>=17>5C ffi-27&6&2ffi8586 "5C9;1=D1C1><9BCA9;G1>725A75A1;41<1==541>=17>5C=5>41@1C;1> 71G1=17>5CB5BD191CDA1>C1>71>;1>1>71G1=17>5C@1BC9C571;<DADBv 41>ff1G1G1>7 C571;<DADB;535@1C1>1C1D1A1875A1;1;1>=5>G5212;1> ffi-27&6&2 &57-/*0*518&7&2)&0&1 ffl*)&2ffl&+2*7#*5&+&1 ff1=21A;1> 1A18 71G1 =17>5C @141 ;1F1C 25A1ADB<9BCA9; G1>7 25A141 41<1==541>=17>5C 45>71> 1A18 fl 41> B5@5AC9 49@5A<981C;1> @141 71=21A25A9;DC flD1 2D18 ;1F1C<DADB B5:1:1A C5A@9B18 @141 :1A1; 3= 41> 491<9A9 1ADB=1B9>7=1B9>7 41> A18 1ADB @141 ;54D1 ;1F1C 25A<1F1>1> %1*!+!.,!( $) $!,!- "4+4 ,!3)(!..$! 1 +5>CD;1>25B1A71G1G1>7491<1=9B5C91@=D1C1> @5A B1CD1> @1>:1>7 2 "5 =1>1 1A18 71G1 @141 B5C91@ ;1F1C A5<1C96 C5A8141@ ;1F1C<19>>G1 *52D18 =D1C1> 25A75A1; 41<1= =541> =17>5C + 45>71> ;535@1C1> M =B +5>CD;1>25B1A71G1G1>7491<1=9=D1C1>:9;11A18 75A1;=D1C1> 1 B5:1:1A=541>=17>5C 2 C571;<DADB=541>=17>5C41> 3 =5=25>CD;BD4DC I C5A8141@=541>=17>5C !5!" <DBCA1B9D>CD;/.3/(ff/!, 49CD>:D;;1>@14171=21A25A9;DC ffi $ 7 v ffi<5;CA?>=5>71<1=94D171G1G1;>971G15<5;CA?BC1C9; ffi "41> 71G1=17>5C $qv45>71>1A18B1<9>725A<1F1>1>71A5<5;CA?>C5C1@25A75A1;<DADBA5BD<C1> 71G1G1>725;5A:1@141>G181ADBB1=145>71>>?<9>71CfiD;D='5AC1=1%5FC?> >91;1>49@5>D89:9;1 ffi $1C1D"ffi qvB589>77149@5A?<588D2D>71> v fl9;5C18D9v M =B41> +=1;125B1A=541><9BCA9;>G1 v M V= fl fl M fl J fl #3&0 *2+8&6&&2 %#fl ! " # $
ffi5+;290 (.5,: ffi-27&6&2ffl*0-2+/&5 #9>C1B1>=5<9>7;1A1C1D<9>7;1A1>C5A:149:9;1@1AC9;5<=5>41@1C;1>71G1 G1>71A18>G1C571;<DADBC5A8141@;535@1C1>@1AC9;5<41>B5<1<D=5>D:D;5 C9C9; G1>7 B1=1 @DB1C<9>7;1A1> G1>7 49B52DC ) $fi%#fl!%ffl *5;1A1>7 C9>:1D @1AC9;5< 25A=D1C1> G1>7 25A75A1; C571;<DADB=5=?C?>7=541> =17>5C B5A171= B5@5AC9 49@5A<981C;1> @141!-"!1 A18=541> =17>5C C571;<DADB=1BD; 2941>7 71=21A 49C1>419 ?<58 M '1AC9;5< 25A=D1C1> >571C96 25A75A1; ;5 ;1>1> 45>71> ;535@1C1> v '141 1F1<>G1 @1AC9;5<25A14149C9C9;'fl5>71>=5>77D>1;1>1CDA1>C1>71>;1>1>71G1 @141=D1C1> 49 ' 25A1A18 ;5 21F18;921C>G1 @1AC9;5< 25A25<?; ;5 21F1841>B5B11C;5=D491>25A14149 C9C9;("5C9;149 C9C9;(1A1871G1 =1B98C571;<DADB;535@1C1>v41>25A25<?;<17945=9;91>B5C5ADB>G1 &<58 ;1A5>1 B5<1<D C571;<DADB v 41> 25B1A ;535@1C1> C5C1@ @1AC9;5< 25A75A1;=5<9>7;1A25A1CDA1>'5A81C9;1>218F1@141;1BDBC5AB52DC1A18 @DC1A1><9>C1B1>B51A18@DC1A1>:1AD=:1=*521<9;>G1:9;1=D1C1>>G1@?B9C96 1A18@DC1A1>>G125A<1F1>1>1A1845>71>@DC1A1>:1AD=:1= !1A9:1A9<9>C1B1> @1AC9;5< 25A=D1C1> G1>7 25A75A1;=5=?C?>7 C571; <DADB=541>=17>5C41@1C49C5>CD;1>B52171925A9;DC'14175A1;=5<9>7;1A 25A1CDA1>71G1G1>71A18>G1=5>D:D;5@DB1C<9>7;1A1>=5=5>D89 2 S mv F R fl1<1=;1BDB9>971G1=17>5C141<18B1CDB1CD>G171G1G1>71A18>G1 =5>D:D;5@DB1C<9>7;1A1>fl5>71>;1C1<19>71G1=17>5C25AC9>41;B521719 71G1B5>CA9@5C1<&<58;1A5>1vC571;<DADB1C1D I=1;1 "v B9> I"v &<58 ;1A5>1 71G1=17>5C 25AC9>41; B521719 71G1 B5>CA9@5C1< 1C1D =1;1 2 mv Bqv R B589>77149@5A?<58:1A9:1A9<9>C1B1>@1AC9;5<G19CD mv R Bq L &1'&5 "(8:02,3),84;(:(5:0+(2 4,5+(7(:.(>(2,:02( ),8.,8(29,1(1(84,+(5 4(.5,:9,/05..(305:(9(55>( ),8;7(.(8093;8;9 75A1;@1AC9;5<=5=25<?;;1>C5C1@91@1;18=D1C1>G1>725A75A1;41<1= =541>=17>5C B5<1<D=5>41@1C 71G1=17>5C !1F121>>G1 C941;fl1A9 @5AB1=11> "v B9> :9;1sin 41>9>9C5A:149:9;1 IvB51A18 1C1D Iv25A<1F1>1>fl5>71>;1C1<19>=D1C1><9BCA9;G1>725A75A1; B5:1:1A=541>=17>5C B51A18 1C1D25A<1F1>1> C941; 1;1>=5>71<1=971G1 =17>5C"5C9;171G1C941;1411A18;535@1C1>>G1C5C1@41>1;1>=5>781B9<;1> <9>C1B1><DADB!149<9>C1B1>@1AC9;5<25A=D1C1>G1>725A75A1;B5:1:1A=541> =17>5C25AD@1<9>C1B1><DADB " v &1'&5 fi05:(9(54,305.2(8(:(; 305.2(8(5:,81(+02,:02( 7(8:02,3),8.,8(24,46:65. :,.(23;8;94,+(54(.5,: v:,.(23;8;9
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi *52D18 @1AC9;5< 25A=D1C1><9BCA9; 41A9 ;51411> 491= 49@5A35@1C 45>71> 2541@?C5>B91< VB525<D==5=1BD;9415A1825A=541>=17>5CB5A171= + A18 75A1; @1AC9;5< C571;<DADB 1A18=541>=17>5C B589>771 @1AC9;5< 25A75A1; =5<9>7;1A45>71>:1A9:1A9 3=+5>CD;1>=1BB1@1AC9;5<9CD !5!" '1AC9;5<49@5A35@1C45>71>2541@?C5>B91<V V=1;15>5A79@?C5>B91<<9BCA9;>G1 25AD218=5>:1495>5A79;9>5C9;!9;11F1<>G1491=41>;535@1C1>1;89A>G1v=1;1 ffi-27&6&2#4-5&0&7&8*0-/6 1719=1>1;18<9>C1B1>@1AC9;5<:9;1;535@1C1>>G1=5=25>CD;BD4DC I 1C1D I I C5A8141@=541>=17>5C,>CD;9CD @5A81C9;1>!-"!1'1AC9;5<25A=D1C1>@?B9C9625A75A1;41<1=2941>7 ()45>71>;535@1C1>v41>=5=25>CD;BD4DC C5A8141@=541>=17>5C G1>7 B51A18 BD=2D) @?B9C96 "535@1C1>>G1 41@1C 49DA19;1>=5>:149 4D1 ;?=@?>5>G19CDv( 41>v ) &1'&5 fi05:(9(59708(3(:(;/,3029 :,81(+02,:02(4;(:(5 ),8.,8(2+(3(44,+(5 4(.5,:+,5.(5v+(5 4,4),5:;29;+;: ? ?(:(; ? ? v v v v *52D18@1AC9;5<25A=1BB1 7A1=41>25A=D1C1>25A75A1;=5=?C?>7C571; <DADB=541>=17>5C =+ 45>71> ;535@1C1> =B +5>CD;1> :1A9:1A9<9>C1B1> @1AC9;5< !5!" fl9;5C18D9ff 7 ;7" =+ M L +41>v=B !1A9:1A9<9>C1B1> 141<18 3 (0,04kg)(8m/s) 80m (2,5 10 T)(1,6C) mv R Bq fl1<1=;1BDB9>9@1AC9;5<49@1>41>725A75A1;41<1=4D149=5>B9B5?<18 ?<18 141 4D1 @1AC9;5< C5A@9B18 G1>7 25A75A1;=1B9>7=1B9>7 45>71> ;535@1C1>v( B51A18BD=2D(@?B9C9641>v ) B51A18BD=2D)@?B9C96"?=@?>5> ;535@1C1>@141BD=2D(v( C571;<DADB=541>=17>5C*5BD191CDA1>C1>71> ;1>1>1A1871G1B51A18BD=2D*@?B9C96ff1G19>9=5>G5212;1>@1AC9;5< 25A75A1;=5<9>7;1A 25A1CDA1> @141 2941>7 (* 2941>7 B5:1:1:1A 71G1fl9 <19>@981;;?=@?>5>75A1;@141BD=2D)v ) C941;=5>41@1C71G1;1A5>1 v ) B5:1:1A B589>771 1;1> 25A75A1;<DADB B51A18 v ) !149 75A1; @1AC9;5< =5AD@1;1> @5A@14D1> 1>C1A1 75A1;=5<9>7;1A 41> 75A1;<DADB 25A1CDA1> G1>71A18;535@1C1>>G1B1<9>7C571;<DADB'5A@14D1>;54D175A1;B5@5AC9 9>9=5>781B9<;1><9>C1B1>25AD@1B@9A1<1C1D85<9;B ,+(54(.5,:>(5.+0:04);32(5 (8;9309:802+04(5-((:2(57(+( (29,3,8(:687(8:02,3;5:;2 4,4),3622(5 7(8:02,37(8:02,3 >(5.),84;(:(5!3,/2(8,5( 0:;,3,2:864(.5,:>(5.2;(: +(7(:+0(:;8;5:;24,5.65:863 4,4),5.2622(5+(5 4,4-62;92(5.(809,+(8 7(8:02,33,2:864(.5,:7(51(5. +(5),8),5:;27,89,.0,47(: >(5.:(47(27(+(.(4)(8+0 (:(9),8(+(+07;9(:7,5,30:0(5 5;2308+,2(:ffl,5,=($=099 #81'*5ffffi #fl &78,*'&6 *0&.&, -6-/&
ffi5+;290 (.5,: v *52D18 5<5;CA?> 49C5=21; ;1> 45>71> ;535@1C1> B5 25B1AM =BC571;<DADB =5=1BD;9 =541> =17>5C B5A171= M L + B5@5AC9 49@5A<981C;1> @141 71=21A 25A9;DC fl9;5C18D9 =1BB1 5<5;CA?> M L ;7 41> =D1C1>5<5;CA?>B525B1AM L 1 +5>CD;1> :1A9:1A9<9>C1B1>5<5;CA?> 2 "5=1>11A18@DC1A1><9>C1B1>5<5;CA?>B51A18 1C1D 25A<1F1>1> 1A18@DC1A1> :1AD= :1= %1*!+!.,!( $) $!,!- "4+4 ,!3)(!..$! flD1 2D18 @1AC9;5< 25A=D1C1> 25A75A1;=5=?C?>7 C571;<DADB=541>=17>5C ffi>5A79 ;9>5C9; ;54D1 @1AC9;5<9CD B1=1 '5A21>49>71>=1BB1 @1AC9;5< @5AC1=141>=1BB1@1AC9;5< ;54D1 141<18 41> @5A21>49>71>=D1C1>@1AC9;5<@5AC1=141>=D1C1> @1AC9;5<;54D1 +5>CD;1>@5A21>49>71>:1A9:1A9 <9>C1B1>@1AC9;5<@5AC1=141> ;54D1 *52D18 @1AC9;5< 25A=D1C1> G1>7 25A75A1; 41<1= 2941>7()45>71> ;535@1C1> =B41>=5=25>CD; BD4DC I C5A8141@ BD=2D( 25A141 41<1==541> =17>5C B5A171= G1>7 B51A18 BD=2D) @?B9C96 ff1=21A;1> 25>CD;<9>C1B1>@1AC9;5<>G1 @ fi05:(9(53;8;9 @ fi05:(9(5 4,305.2(8 @ fi05:(9(5 9708(3 @ "(8:02,3),84;(:(5 fl&7&fl82(- ffl31*2&;&ffl&+2*7)&2ffl3735ffi-675-/ '5A>18;18>41 25AC1>G1=5>71@1 ;9@1B 1>79> 41@1C 25A@DC1A 1C1D =5>71@1=?29<=19>1>41@1C25A75A1;;5C9;14925A921C5A19fl91>C1A1>41 @1BC9 141 G1>7 BD418=5>75>1<=?C?A<9BCA9; 2D;1>%18=?C?A<9BCA9;<18 G1>7=5>G5212;1> ;9@1B 1>79> 41> A?41=?29<=19>1> 41@1C 25A@DC1A *525>1A>G1=1B9821>G1;@5>77D>11>=?C?A<9BCA9;41<1=;5894D@1>B581A9 81A9=9B1<>G12?A<9BCA9;@5>75A9>7A1=2DC41>@5=DC1A1>C5>1C5<5v9B9 2 1 () 2 2 2 mv qV mv m B589>771 49@5A?<58 ffv ff"V 9 fl1A9ffl%12!-!!. G19CD mv R Bq 49@5A?<58 ffv" 99 *D2BC9CDB9;1> 99 ;5 9=1;1 49@5A?<58 " ff"V B589>771 49@5A?<58=1BB1 @1AC9;5< 2 2 2V RBq m 999 *5<1>:DC>G1 BD2BC9CDB9;1> 3= = + " 41> V V;5999=1;149@5A?<58 RBq m 22 2 2 4 (0,1m) (0,4T) (50C) 2 10 2V (2)(200V) ;7 7 &1'&5 64,5.(>(4(.5,:7(+( 2;47(8(5 ( :(47(2(:(9 ) :(47(2+,7(5+(5 * 2,:02(.(8095684(3 )0+(5.2;47(8(5 4,4),5:;29;+;: :,8/(+(74,+(54(.5,: fl fl fl fl fl fl fl fl #3&0 *2+8&6&&2 %#fl B ! " #
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi *525<D==5=181=9<5298 :1D8 C5>C1>7=?C?A<9BCA9; C5A<5298 418D<D >41C9>:1D=?=5>71G1=17>5CG1>7=5AD@1;1>@A9>B9@41B1A41A9;5A:1 =?C?A<9BCA9;,>CD;9CD@5A81C9;1><18!-"!1 "D=@1A1>;1F1C@5AB579 @1>:1>7 G1>7=5=9<9;9 @1>:1>7 41><521A 49<5C1;;1> 49 41<1==541> =17>5C45>71>B5:1:1A2941>7;1F1C@5AB579@1>:1>7"5C9;1;D=@1A1> 491<9A91ADB<9BCA9;B5@5AC9!-"!1 !@1>:1>7;1F1C=5>41@1C71G1 =17>5C ;5 1C1B B541>7;1><521A ;1F1C =5>41@1C 71G1=17>5C ;5 21F187D>1;1>1CDA1>C1>71>;1>1>"54D171G19>9=5>781B9<;1>A5BD<C1> =?=5>71G1=17>5CD>CD;=5=DC1A;D=@1A1>B5;9C1ABD=2DA?C1B9G1>7 25B1A>G1 ffl ffl 5B1A71G1=17>5C flffl =1;1 ffl flffl flffl ffl flffl ffl !9;1 ;D=@1A1> C5A49A9 41A9 <9<9C1> 25B1A=?=5> 71G1=17>5C G1>7 4981B9<;1>141<18 fl L 45>71>ffl ffl 141<18<D1B@5>1=@1>7;D=@1A1> '5A81C9;1>218F1ffl%12!-!!.725A<1;D;5C9;171A9B>?A=1<71A9B G1>7C571;<DADB2941>7;D=@1A1>41>=541>=17>5C9;B1<9>7C571;<DADB !9;171A9B>?A=1<2941>7=5=25>CD;BD4DC C5A8141@=541>=17>5C1A18 71G1 @141=1B9>7=1B9>7 ;1F1C C941; 25AD218 C5C1@9<5>71> 71G1>G1 25AD21841A9 ffl =5>:149 ffl <981C;5=21<9;?>B5@=?=5>71G149"5<1B / fl5>71>45=9;91>25B1A=?=5>71G1>G1=5>:149 fl B9> L $5B;9@D>ffl%12!-!!. 7 41>7 49CDAD>;1> 41A9 ;D=@1A1> @5AB579@1>:1>7@5AB1=11>C5AB52DC25A<1;DD>CD;B5=D125>CD;;D=@1A1> @ 64,5.(>(4(.5,: @ 6:68309:802 @ #6:68(84(:;8 fl&7&fl82(- $?C?A<9BCA9;=5>7D218 5>5A79<9BCA9;=5>:149 5>5A79 75A1; A?C1B9 =5;1>9; !-"!1 !=5=@5A<981C;1> 4917A1= 41A9=?C?A<9BCA9; B545A81>1 "D=@1A1> ;1F1C 49<9<9C;1> @141 B52D18 B9<9>45A G1>749B52DC &1'&5 6:68309:802 (92,4(9,+,8/(5(+(5 ) 46:68 ;?=DC1C?A B9;1C 21CCA5AG43 1A=1CDA B9;1C * fl , BD=25AC571>71> ! " 6:684050+,5.(5+0(4,:,8 44>(5.4,8;7(2(59(3(/ 9(:;(7302(904,+(54(.5,: (7(::,830/(:7,8)(5+05.(5 ;2;8(5(5:(8(46:684050 :,89,);::0+(21(;/3,)0/),9(8 +(809,);(/3;)(5.1(8;4 #81'*5"fi!ff ffiffi$"#!# #fiff!'fi ff ffl37351-2- *0&.&, -6-/& <D21>7 :1AD=
ffi5+;290 (.5,: # % #1C1D #ff%&#)?C?A 49<5;1C;1> @141 BD=2D @DC1A *D=25A=541> =17>5C>G1 141<18 4D1=17>5C C5C1@ 45>71> ;DCD2;DCD2 G1>7 B1<9>7 25A8141@1>,41>*B5@5AC949@5A<981C;1>@141!-"!1 !"5C9;11ADB 491<9A;1>=5<1<D9;D=@1A1>C9=2D<<18=?=5>71G1=17>5C@141;D=@1A1> G1>71;1>=5>G5212;1>;D=@1A1>25A@DC1A;1>C5C1@9;5C9;1;D=@1A1> =5<5F1C9 @?B9B9 v5AC9;1< 71G1 @141 B5C91@ 21791> ;D=@1A1> 25A21<9; 1A18 1@129<11A181ADBC5C1@B589>771@DC1A1>;D=@1A1>1;1>25A21<9;1A18@D<1 71A@DC1A1>>G1;?>C9>D;5B1CD1A181A181ADB81ADB4921<9;B11C;D=@1A1> =5>31@19@?B9B9;A9C9B'141=?C?A1ADB2?<1;21<9;;51411>C5AB52DC2D;1><18 =1B1<18 ;1A5>1 1ADB>G1 B5>49A9 2?<1;21<9; '141=?C?A 1ADB B51A18 171A 1ADB>G1 25A21<9; 1A18 497D>1;1> ;?=DC1C?A 41> B9;1CB9;1C B5@5AC9 49@5A<981C;1> @141 !-"!1 " *5C91@ B5C5>718 @DC1A1> ;?=DC1C?A =5>7D218B1=2D>71>>G141A9B1CDB9;1C;5B9;1C<19>>G1fl5>71>45=9;91> 1ADB<9BCA9;@141;D=@1A1>25AD2181A18B5C91@B5C5>718@DC1A1> "D=@1A1> 25A25>CD;<9>7;1A1> 45>71> :1A9:1A9 3=25A14141<1==541>=17>5C =+"D=@1A1> C5A49A91C1B<9<9C1>!9;1;D=@1A1>491<9A91ADB<9BCA9; C5>CD;1>=?=5>71G1=17>5C=1;B9=D=G1>7 25;5A:1@141 ;D=@1A1> %1*!+!.,!( $) $!,!- "4+4 ,!3)(!..$! +D<9B;1><18 1 61;C?A61;C?AG1>7=5=5>71AD8925B1A=?=5> 71G1=17>5C41> 2 5=@1C ;5=D>7;9>1> 41A9 2525A1@1 ;5=D>7 ;9>1>G1>7141G1>741@1C>41<1;D;1>171A =?=5> 71G1=17>5C=1;B9=D=>G1=5>:149 4D1 ;1<9 41A9 B525<D=>G1 #3&0 *2+8&6&&2 %#fl *52D18 @5>781>C1A G1>7<DADB @1>:1>7 491<9A9 1ADB <9BCA9; B525B1A *52D18 5<5;CA?> 25A75A1; 45>71> ;535@1C1> M =B B51A18 1ADB 41<1= @5>781>C1A @141:1A1; =41A9@5>781>C1A C5AB52DC !9;1=D1C1> 5<5;CA?> L M L 71G1 @141 5<5;CA?> ?<58 1ADB 41<1= @5>781>C1A C5AB52DC 141<18 1 M L % 2 M L % 3 M L % 4 M L% 5 M L% ffl%.6%,%2!)!. fl9;5C18D9 fl M =B " LM L = +9=2D<9>4D;B9=541>=17>5C9;49B5;9C1A 1ADB .2= .2 = fl ff1G1 @141 5<5;CA?> " M L.2M LM =B M L % !5!" " fflfifl SPMB *1'&,&6&2#3&0 " fl ,
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi %$!.!'.%3141<18AD1>749B5;9C1A=17>5CG1>7 =1B98 49A1B1;1> 141>G1 71G1 =17>5C fi1>B 8A9BC91>&5ABC54=5>5=D;1> 218F1 1ADB<9BCA9; 41@1C=5>781B9<;1>=541>=17>5C$541>=17>5C G1>7 4981B9<;1> ?<58 1ADB<9BCA9; 49B52DC=541> 9>4D;B9 $541> =17>5C 9>4D;B9 @141 BD1CD C9C9; G1>7 25A:1A1; 41A9 ;1F1C<DADB 141<18 fl $541>=17>5C9>4D;B9 49 @DB1C<9>7;1A1> ;1F1C =5<9>7;1A 25A:1A9:1A9 141<18 fl ff/,%./)$!141<18;D=@1A1>;1F1CG1>7C5A49A941A9 21>G1;<9<9C1>$541>=17>5C9>4D;B9 49 C5>718 C5>71> B?<5>?941 141<18 fl B541>7;1> 49 D:D>7 B?<5>?941 141<18 fi fi/1/)$! 141<18 B?<5>?941 G1>7=5<9>7;1A$541> =17>5C4941<1=BD=2D<9<9C1> C?A?941141<18 !6! -!'.%3 @141 ;1F1C 25A1ADB B521>49>7 45>71>=541>=17>5C ;D1C 1ADB 41> @1>:1>7 ;1F1C flfflB9> ff1G1 @141 4D1 2D18 ;1F1C B5:1:1A 25A1ADB<9BCA9; B51A18 1;1> C1A9;=5>1A9; *521<9;>G1 71G1 @141 4D1 ;1F1C B5:1:1A 25A1ADB<9BCA9; 25A<1F1>1> 1A18 1;1> B1<9>7 C?<1;=5>?<1; fl fl ffl ff1G1 @141 B52D18=D1C1> 25A75A1; 41<1==541> =17>5C 45>71> ;535@1C1> v 141<18 F Bqv sin +5A41@1C C971=131=<9>C1B1> @1AC9;5< 25A=D1C1> <9BCA9;41<1==541>=17>5C8?=?75>G19CD<9>C1B1> <DADB=5<9>7;1A41> B@9A1< /-%. '!6! @141 ;D=@1A1> ;1F1C @5AB579 @1>:1>7 25A1ADB G1>7 49<5C1;;1> 49 41<1==541> =17>5C 141<18 flB9> "&2+/81&2
ffi5+;290 (.5,: fl659,7 $,:,3(/ 4,47,3(1(80 )() ffi5+;290 (.5,: 5+( +(7(: 4, 5,8(72(505+;2904(.5,:+(5.(>(4(.5,:027(+(),),8(7( 786+;2:,25636.0ffl02(5+(),3;44(47;4,5,8(72(505+;290 4(.5,:+(5.(>(4(.5,:027(+(),),8(7(786+;2:,25636.0 5+( ),3;4 4,5.;(9(0 4(:,80 )() ffi5+;290 (.5,: +,5.(5 )(02#;4;92(54(:,80>(5.),3;45+(7(/(403(3;*6)(3(/ 5+(:;3092(52(:(2(:(2;5*0:(57(4,30/(:2(:(2;5*0>(5. :,3(/ (+( +(5 :;3092(5 7;3( 8(5.2;4(5 9,8:( 7,:( 2659,7 ),8+(9(82(5<,8905+(ffl02(7,83;+092;902(5+,5.(5:,4(5 :,4(5(:(;.;8;0902(5+( fl&.--5- ADB #9BCA9; $541>$17>5C ff1G1 #?A5>CH 'DB1C "1F1C $5<9>7;1A 5A:1A9:1A9 B i a = m0 2 fl9fl1<1=*D=2D #9<9C1> +?A?941 B iN a = m p 0 2 !'.%3 *D1CD +9C9; *?<5>?941 5A:1A1; 41A9 "1F1C #DADB B i a = m p 0 2 ,:D>7 *?<5>?941 B B u = 1 2 0 +5>718+5>718 *?<5>?941 B iN L 0 0 = m 4,504);32(5 4,504);32(5 4,504);32(5 7(+( +0
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi "030/3(/9(3(/9(:;1(=()(5>(5.7(305.:,7(:+(52,81(2(53(/7(+();2;3(:0/(55+( ADB<9BCA9;=5>71<9AB5@1>:1>7;1F1C<9BCA9;C571>71> C9>77941A9DC1A1;5B5<1C1>A18=541>=17>5CG1>7 491;921C;1>1ADB<9BCA9;49C9=DA;1F1C141<18;5K 1 B5<1C1> 4 1C1B 2 DC1A1 5 21F18 3 21A1C flD1 ;1F1C ;D=@1A1>945>C9; 25A1ADB <9BCA9;B1=125B1A41>B51A18G19CDfl+9C9; 25A141 49 C5>718C5>718 71A9B @5>7 8D2D>7;54D1C9C9;@DB1C;D=@1A1>>1; @1>18 G1>7 @1<9>7 C5@1C D>CD; =5 >G1C1;1> 1A18=541>=17>5C 49 C9C9; 141<18K 1 2 3 4 5 >?< flD1;1F1C@1>:1>749<5C1; ;1>B5:1:1A@141:1A1; 3= B1CD B1=1<19> B5@5AC9 49 @5A<981C;1> @141 71=21A "1F1C 491<9A9 1ADB B525B1A 41>;1F1C;54D1 !9;1 0 M L.2=L9>4D;B9=17>5C49C9C9; 'G1>7 C5A<5C1;491>C1A1;54D1;1F1C@141:1A1; 3=41A9;1F1C@5AC1=1141<18K 1 M L+ 2 M L+ 3 M L+ 4 M L+ 5 M L+ '141 71=21A 25A9;DC(41> ) 141<184D1 ;1F1C G1>7491<9A9 1ADBB1=145>71>1A18=5>D:D @5=2131 *D@1G1 C941; 49 @5>71AD89?<58=541>=17>5C B52D18 ;?=@1B 81ADB49<5C1; ;1>49C9C9;K 1 4 2 5 3 *52D18<??@1ADB25A25>CD;<9>7;1A1> 25A:1A9:1A9#491<9A91ADBflG1>7=5>9= 2D<;1>=541>9>4D;B99=21B=17>5C 49@DB1C>G1'B5@5AC9@14171=21A 25A9;DC 5B1A 41> 1A18 C5AB52DC 141<18K 1 0 2 i r C571;<DADB;5<D1A2941>771=21A 2 fl # C571;<DADB;5<D1A2941>771=21A 3 fl # C571;<DADB=1BD;2941>771=21A 4 fl # C571;<DADB=1BD;2941>771=21A 5 >?< "1F1C 1 4 <9>7;1A1>45>71>:1A9:1A9 =5C5A491<9A91ADB1=@5A55B1A 9>4D;B9=17>5C@141@DB1C<9>7;1A1> '141<18K 1 M L+ 2 M L+ 3 M L+ 4 M L+ 5 M L+ *?<5>?94145>71> <9<9C1>41>@1>:1>7 =491<9A9 1ADB<9BCA9; 5B1A9>4D;B9=17>5C 49 C5>718 B?<5>?941141<18K 0 M L.2= 1 M L + 2 M L + 3 M L + 4 M L + 5 M L + *52D18 ;1F1C<DADB @1>:1>7 49<5C1;;1> 25A9=@9C 45>71> BD=2D B?<5>?941 *?<5>?941=5>781B9<;1> =541>=17>5C M L +4941<1=>G1!9;1;1F1C<DADB 491<9A9 1ADB 25B1A=541>=17>5C @141 C9C9; C9C9;25A:1A1; ==41A9BD=2DB?<5>?941141<18K 1 >?< 2 M L + 3 M L + 4 M L + 5 M L + *52D18 ;1F1C<DADB B5:1:1A 25A 141491>C1A14D1;DCD2=17>5C 25A<1F1>1> B5@5AC9 49@5A<981C ;1> @141 71=21A "5C9;1 ;1F1C 491<9A91ADB<9BCA9;;1F1CC5AB52DC 1;1>K 1 25A75A1;=5>D:D;DCD2* 2 25A75A1;=5>D:D;DCD2, 3 25A75A1;=5>D:D@5=2131 4 25A75A1;=5>:1D89 @5=2131 5 C5C1@ 491= 5B1A71G1=17>5C@141B5DC1B;1F1C<DADB25A1ADB <9BCA9;%flffi49@5>71AD89 ?<58K 1 @?B9B9 ;1F1C 41<1==541>=17>5C 2 @1>:1>7 ;1F1C 3 81=21C1> ;1F1C 4 ;D1C 1ADB @141 ;1F1C 5 =541>=17>5C *52D18 ;1F1C<DADB 25A1ADB<9BCA9; 25A141 41<1= =541> =17>5C B5A171= + G1>7 i r P i P MMM M M ( ) ' J fl fl A fl fl 9&08&6-ffl&7*5-&' B D B D fl
ffi5+;290 (.5,: =5=25>CD; BD4DC I C5A8141@ 1A18 1ADB @141 ;1F1Cff1G1=17>5C G1>7 491<1=9 ;1F1C :9;1 @1>:1>7;1F1C = 141<18K 1 % 4 % 2 % 5 % 3 % flD12D18;1F1C<DADBB5:1:1A=1B9>7=1B9>7491<9A9 1ADBfl41>C5A@9B18@141:1A1;5B1A71G1=17>5C @141 C91@ ;1F1C B521>49>7 45>71>K 1 i a 4 a i 2 2 i a 5 2 a i 3 2 i a !9;14D1;1F1C<DADBB5:1:1A491<9A91ADB<9BCA9;71G1 =17>5C @5A B1CD1> @1>:1>7 @141 B1<18 B1CD ;1F1C 141<18K 1 B5@5A5=@1C;1<971G1=17>5C@141;1F1C<19>>G1 2 B5C5>718;1<971G1=17>5C@141;1F1C<19>>G1 3 B1=145>71>71G1=17>5C@141;1F1C<19>>G1 4 4D1 ;1<9 71G1=17>5C @141 ;1F1C<19>>G1 5 5=@1C ;1<9 71G1=17>5C @141 ;1F1C<19>>G1 *52D18;1F1C<5>CDA;54D1D:D>7>G149B1=2D>7;1> 41>49<5C1;;1>491C1B=5:1G1>725A14141<1==541> =17>5CB5A171=45>71>1A18C571;<DADB@5A=D;11> =5:1 *5=D<1 ;1F1C =5=25>CD; 2941>7 C941; 25A1CDA1>!9;1;1F1CC5AB52DC491<9A91ADB<9BCA9;2941>7 G1>74925>CD;;1F1C=5>:149K 1 @5AB579 2 <9>7;1A1> 3 5<9@B 4 B@9A1< 5 25ADB181=5=25>CD; 4D1 ;1F1C<DADB B5:1:1A +971 2D18 ;1F1C B5:1:1A B1CD B1=1<19> 41> 491<9A9 1ADBfl45>71>1A18G1>7B1=1ff1A9B8D2D>7;5C971 ;1F1C=5=25>CD;B52D18B579C971B1=1B9B945>71> @1>:1>7B9B9ff1G1@5AB1CD1>@1>:1>7G1>7491<1=9 B5C91@ ;1F1C 141<18K 1 fl 4 fl 2 fl 5 fl 3 fl 5B1A 71G1 G1>7491<1=9 B52D18@1AC9;5< 25A=D1C1> G1>7 25A75A1; 41<1==541>=17>5C 25A71>CD>7 @14181<81<25A9;DCffi&fflflK 1 =1BB1 @1AC9;5< 2 1A18 75A1; @1AC9;5< 3 25B1A ;535@1C1> @1AC9;5< 4 25B1A=D1C1> @1AC9;5< 5 25B1A=541>=17>5C '1AC9;5< 25A=D1C1><9BCA9; 25A75A1; 45>71> ;5<1:D1>M =BB5:1:1A45>71>=541>=17>5C B5A171= +ff1G1=17>5C G1>7 491<1=9=D1C1> 141<18K 1 >?< 4 M L % 2 M L % 5 M L % 3 M L % *52D18;1F1C@5>781>C1A<DADB@1> :1>7 G1>7 491<9A9 1ADB<9BCA9; fl C5A<5C1; 49 AD1>7 81=@1 *52D18 5<5;CA?>25A75A1;<DADBB5:1:1A45>71> ;1F1C41> 25A<1F1>1> 1A1845>71> 1A18 1ADB 45>71><1:D M =B !9;1:1A1;5<5;CA?>41A9;1F1C==71G1=17>5C G1>7491<1=95<5;CA?>25B1A>G1K 1 M L%=5>D:D;1F1C 2 M L%=5>:1D89;1F1C 3 M L%=5>D:D;1F1C 4 M L%=5>:1D89;1F1C 5 M L %=5>D:D;1F1C *52D18@A?C?>25A75A1;B51A18 BD=2D+(@?B9C9641>=1BD;;5 41<1==541>=17>5C B5A171= B589>771 =5>:1<1>9 75A1; =5 <9>7;1A@1412941>7 () B5@5AC9 C5A<981C @141 71=21A >9 25A 1AC9 218F1=541>=17>5C C5AB52DC B51A18 45>71> BD=2DK 1 ( @?B9C96 4 *>571C96 2 ) >571C96 5 * @?B9C96 3 ) @?B9C96 *52D185<5;CA?>49C5=21;;1> B5:1:1A ;5@9>7 49 1>C1A1 4D1 ;5@9>725A<1F1>1>=D1C1>B5 @5AC949@5A<981C;1>@14171=21A 49B1=@9>771A<9>C1B1>5<5; CA?><DADB=541>=17>5C B5 A171=81ADB4925A9;1>45>71> 1A18K 1 =1BD; C571;<DADB2941>7;5AC1B 2 ;5<D1A C571;<DADB2941>7;5AC1B 3 =5>D:D ;5@9>7 @?B9C96 4 =5>D:D ;5@9>7 >571C96 5 B51A18 75A1; 5<5;CA?> *52D18 5<5;CA?> 45>71> 5>5A79 ;9>5C9; 5- =5=1BD;9 415A18 25A=541>=17>5C B5A171= B5 25B1A 71DBB G1>7 C571;<DADB C5A8141@ 1A18 75A1;>G1 !1A9:1A9<9>C1B1> 5<5;CA?> 41<1==541> =17>5CC5AB52DC141<18K 1 3= 2 3= 3 3= 4 3= 5 3= *52D18 @1AC9;5< 25A=1BB1 ff 25A=D1C1>"41>;535@1C1>>G1 v 49C5=21;;1> C571;<DADB @141 =541> =17>5C B5A21B1=1 B5@5AC9 71=21A 49 B1=@9>7fl9 41<1==541>=17>5C C5AB52DC v fl == + + + + + + + + + + + + e v v ( * )
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi @1AC9;5< 1;1> 25A75A1;=5<9>7;1A 25A<1F1>1> 45>71> 1A18 :1AD= :1= @5A35@1C1> @1AC9;5< qvB a m :1A1; C5A:1D8>G141A9 141<18 ff " v <1:D @1AC9;5< 25AD218 B5<1=1 25A141 41<1= =541>=17>5C9; '5A>G1C11> G1>7 25>1A 141<18K 1 41> 2 41> 3 41> 4 5 41> '5A21>49>71>=1BB14D12D18@1AC9;5<ff ff 41>=D1C1>>G1" " "54D1@1AC9;5<C5AB52DC 25A75A1;=5<9>7;1A 41<1==541>=17>5C B5A171= 45>71>=?=5>CD=G1>7B1=1'5A21>49>71>:1A9:1A9 ;54D1@1AC9;5< 141<18K 1 4 2 5 3 *52D18 @1AC9;5< 25A=D1C1><9BCA9; 25A75A1; 41<1= 2941>7 )* 45>71> ;535@1C1> v 49 41<1==541> =17>5C G1>7 B5:1:1A BD=2D* !9;1 v=5=25>CD; BD4DC IC5A8141@BD=2D)@?B9C96<9>C1B1>@1AC9;5< C5AB52DC25AD@1K 1 71A9B<DADB B5:1:1A BD=2D+) 2 <9>7;1A1> 45>71> BD=2D B5:1:1A BD=2D+) 3 <9>7;1A1> 45>71> BD=2D B5:1:1A BD=2D+( 4 B@9A1< 45>71> BD=2D B5:1:1A BD=2D+* 5 B@9A1<45>71> BD=2D B5:1:1A45>71> BD=2D+( *52D18;1F1C25A25>CD;<9>7;1A1>25A:1A9:1A9 3= 25A141 41<1==541>=17>5C B5A171= + G1>7 1A18>G1 B5:1:1A BD=2D<9>7;1A1> !9;1 ;1F1C 491<9A9 1ADB =?=5> 71G1=17>5C=1;B9=D= G1>7 25;5A:1@141 ;1F1C 141<18K 1 M L %= 4 M L %= 2 M L %= 5 M L %= 3 M L %= ffl(=()3(/7,8:(5>((5),802;:+,5.(5),5(8+(52,81(2(53(/7(+();2;3(:0/(55+( 1 5A1@1;18 :D=<18 <9<9C1> 41> @1>:1>7 B?<5>?941 2 5A1@1;18 =541> =17>5C =1;B9=D= 49 C5>718C5>718 B?<5>?941 fl1@1C;18=1BB1 @1AC9;5< 25A=D1C1> 49C5>CD;1> 45>71>=5<5F1C;1>>G1 41<1==541>=17>5C 1719=1>1 31A1>G1 ffl1;C?A61;C?A 1@1 B1:1 G1>7 >41 D;DA "1F1C @5AB579@1>:1>7fl 491<9A9 1ADB ;5=D491> 49<5C1;;1> 49 45;1C ;1F1C<DADB B5@5AC9 49@5A<981C;1> @141 71=21A "1F1C<DADB491<9A9 1ADB +5>CD;1> 25B1A 71G1 G1>7491<1=9 ;1F1C<DADB +D<9B;1> 61;C?A61;C?A G1>7 41@1C=5=@5A35@1C @DC1A1>=?C?A<9BCA9; *52D18 5<5;CA?> 49@5A35@1C @141 2541 @?C5>B91< VB525<D==5=1BD;9C571;<DADB=541>=17>5C =+ fl9;5C18D9=1BB15<5;CA?> M L ;741> =D1C1>5<5;CA?>M L 1 +5>CD;1> 25B1A ;535@1C1> 5<5;CA?> 41<1= =541>=17>5C 2 5A1@1 :1A9:1A9<9>C1B1> 5<5;CA?> '5A81C9;1> 71=21A 49 B1=@9>7"51A18=1>1 :1AD= ;?=@1B 1;1> =5>G9=@1>7 flD12D18;1F1C<DADBB5:1:1A C5A@9B18@141:1A1; 3= 41>=1B9>7=1B9>7 491<9A9 1ADB 41> 45>71> 1A18 B1=1 +5>CD;1><5C1; C9C9; G1>7 ;D1C =541>>G1 >?< 4989CD>7 41A9 B1<18 B1CD ;1F1C flD1 2D18 ;1F1C <DADB B5:1:1A 25A1ADB <9BCA9; 1719=1>1;18 1A18 1ADB @141=1B9>7=1B9>7 ;1F1C B589>771 ;54D1 ;1F1C B1<9>7=5>:1D89 '141=?45< 1C?= ?8A B52D18 5<5;CA?> 25A75A1; =5>75<9<9>799>C9 1C?= 894A?75> 41<1=<9>C1B1> 25A25>CD;<9>7;1A1>25A:1A9:1A9 M L=45>71> ;5<1:D1> M =B !9;1=D1C1> 5<5;CA?> M L 25A1@1;18 25B1A=541>=17>5C@141 9>C91C?=1;921C75A1;1>5<5;CA?>C5AB52DC flD1 2D18 ;1F1C<DADB 25A1ADB<9BCA9; 25AB9<1>71> C571;<DADB B1CD B1=1<19> @141 :1A1; C5AC5>CD @1;18 @141 ;1F1C C5A:149 71G1 1;B9A51;B9 $5>71@1 45=9;91> *52D18B?<5>?941492D1C41A9B5DC1B;1F1CB5@1>:1>7 = G1>7 @5>1=@1>7>G1 25A491=5C5A == fl91=5C5A @5>1=@1>7 B?<5>?941 3=,:D>7D:D>7 B?<5>?941 498D2D>7;1> 45>71> BD=25A C571>71> V45>71>41G1=1;B9=D= . * , 3= 3= 3=
ffi5+;290 (.5,: fl*+-&7&2#*1*67*5 '14112 >41C5<18=5=@5<1:1A9B1<18B1CD81B9<5;B@5A9=5>&5ABC54 G1>7=5>D>:D;;1>218F1;1F1C25A1ADB<9BCA9;=5>71<1=971G1;5C9;125A141 4941<1==541>=17>5CG1>74981B9<;1>B52D18=17>5C C5C1@,>CD;<5298 =5=181=9@A?B5B C5A:149>G1 71G1=17>5C@141 BD1CD 25>41 25A1ADB=1;1 @141%')!3!.ffl%.%,)3)!.ff%-%23%1 >41 1;1>=5=2D1C 1<1C@5A3?211> B545A81>1B521719B9=D<1B941A981B9<5;B@5A9=5>G1>749@5A?<58&5ABC54 "5791C1>9>949<1;D;1>B531A125A;5<?=@?;41>49;5A:1;1>41<1=F1;CD 4D1=9>77D *5<1=1 @5>75A:11> ;5791C1> 25A<1>7BD>7>41 4981A1@;1> =1=@D25;5A:1B1=145>71>219;41>41@1C25AC1>G1;5@1417DADffl9B9;1 >41:9;114181<81<G1>725<D=>41@181=9*5C5<18B5<5B19<1@?A;1><18 81B9< ;5791C1>>41 41<1= 25>CD;<1@?A1> C5ACD<9B 5A9;DC 141<18 DA191> ;5791C1>G1>781ADB>41<1;D;1> fi4*4!. $5=2D1C 1<1C @5A3?211> 71G1=17>5C #?A5>CH D>CD;=5>71=1C9 71G1 =17>5C@141B52D1825>4125A1ADB<9BCA9;4941<1==541>=17>5C ,!3$!.!(!. flD1<5=21A ffl&ffflfifl&ff flffl45>71>=1B9>7=1B9>7D;DA1> M 3= 41>M 3= flD12D18=17>5C,45>71>D;DA1>G1>725A2541 ffi>1=2D1821C5A19E?<C *52D18B1;5<1A flD12D18@5>:5@9C2D1G1 "1F1C C5=2171;125< =5C5A *52D18@1@1>25AD;DA1> M 3= flD12D18;1GDG1>7@1>:1>7>G13= *5<5=21AB5>725AD;DA1> M 3=41>2525A1@1B5;AD@;539< ffl1/2%$41 baterai sakelar aluminium foil U S
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi *91@;1><18@1@1>=17>5C,41>4D12D18;1GD#5C1;;1><18=17>5C , 49 1>C1A1 ;54D1 ;1GD G1>7 25A49A9 41> B5:1:1A ;5=D491> ;D1C;1> 45>71>B5>741>B5;AD@ D1C<18A1>7;191>B545A81>1G1>7C5A49A91C1BC9712D1821C5A19B1;5<1A 41> ffl&ffflfifl&ff flffl 25AD;DA1> M 3= G1>7 498D2D>7;1> 45>71> ;1F1CC5=2171'?B9B9;1>ffl&ffflfifl&ff flffl491>C1A1;54D1;DCD2=17>5C , B5@5AC9 71=21A +DCD@<18B1;5<1A171A1ADB<9BCA9;=5>71<9A41A921C5A19=5<1<D9ffl&ffflfifl&ff flffl@1;18G1>7C5A:14945>71>ffl&ffflfifl&ff flffl 1<9;;1>@?<1A9B1B9;5C97121C5A19;5=D491><1;D;1><1>7;18G1>7B1=1 @1;18G1>7C5A:14945>71>ffl&ffflfifl&ff flffl ff1>C9<18=17>5C,45>71>=17>5C,G1>7<529825B1AC1>@1=5>1=218 :D=<18 21C5A1941> @1>:1>7ffl&ffflfifl&ff flffl=1C9 G1>7 C5A:14945>71> ffl&ffflfifl&ff flffl +1=218;1><18:D=<1821C5A19=5>:14921C5A19C1>@1=5>771>C9=17 >5C,41>@1>:1>7ffl&ffflfifl&ff flffl=1C9G1>7C5A:14945>71>ffl&ffflfifl&ff flffl ff1>C9<18ffl&ffflfifl&ff flffl45>71>ffl&ffflfifl&ff flfflG1>7<5298@1>:1>7C1>@1 =5>771>C9=17>5C,41>=5>1=21821C5A19=1C9;5=21<9G1>7C5A:149 45>71> ffl&ffflfifl&ff flffl @1G1>741@1C>41B9=@D<;1>41A9;5791C1>C5AB52DC ffl%13!.6!!. 1719=1>1;18 @5>71AD8=541>=17>5C C5A8141@ffl&ffflfifl&ff flffl G1>7 25A1ADB<9BCA9; 1719=1>1;1831A1=5>5>CD;1>1A1871G1=17>5C@141ffl&ffflfifl&ff flffl @1;1831A1C5AB52DCB5BD1945>71>81B9<;5791C1>G1>7>41<1;D;1> 1719=1>1;18@5>71AD8@5A71>C91>=17>5C,45>71>=17>5C,G1>7 <529825B1AC5A8141@71G1=17>5CG1>7491<1=9ffl&ffflfifl&ff flffl 1719=1>1;18 @5>71AD8 @5>1=2181> :D=<18 21C5A19 C5A8141@ 71G1 =17>5CG1>7491<1=9ffl&ffflfifl&ff flffl 1719=1>1;18@5>71AD8@5>1=2181>@1>:1>7ffl&ffflfifl&ff flfflC5A8141@ 71G1=17>5CG1>7491<1=9ffl&ffflfifl&ff flffl !9;1@?B9B9ffl&ffflfifl&ff flffl491CDAB545=9;91>B589>771BD4DC1>C1A11ADB <9BCA9;fl41>=541>=17>5CC941;B1=145>71> I1@1;18G1>7C5A:149 45>71>71G1=17>5CG1>7491<1=9ffl&ffflfifl&ff flffl !0/1!.%')!3!. *5C5<18>41 B5<5B19=5>71=1C9 71G1=17>5C @141 ffl&ffflfifl&ff flffl=5<1<D9 1<1C@5A3?211>G1>7C5<18>412D1C<1@?A;1><1881B9<;5791C1>>4141<1= 25>CD;<1@?A1>;5791C1>#1@?A1>;5791C1>49BDBD> B531A125AB1=141<1= B5C91@;5<?=@?;41>49;5C9;@141;5AC1Bfi-*D;DA1> 41@D>9B9<1@?A1> ;5791C1> C5A49A9 1C1B !D4D< #1C1A 5<1;1>7$1B1<18 45>C969;1B9$1B1<18 +D:D1> '5>5<9C91><1C 41> 181> 'A?B54DA '5>5<9C91>fi1B9< 41> '5=2181B1>"5B9=@D<1>41>*1A1>B5AC1fl16C1A'DBC1;1!9;114181<81< G1>725<D=>41@181=9=5>75>19@A?B5B@5>GDBD>1><1@?A1>;5791C1> >4141@1C25AC1>G1;5@1417DADffl9B9;1*5<1=1C25;5A:1
$,/,;08-,3,=,9=0-07?89B,9/,>07,380920>,3?43?-?92,9,9>,<, 608,290>,9 /,9 6074=><46,9 B,92 /4608?6,6,9 :703#0<=>0/ B,694 ,<?= 74=><46/,;,>80923,=476,980/,98,290>ff46,/08464,9;0<9,36,39/, -0<;464<809209,4608?92649,9-0<7,6?9B,;<49=4;60-,746,9/,<4;0908?,9 #0<=>0/ >0<=0-?>092,9 6,>,7,498?926496,380/,98,290> /,;,> 80923,=476,9,<?=74=><46 $08-,3,=,9 >0<=0-?> =0-09,<9B, =?/,3 ,/, /,9 >07,3 >0<5,A,- =05,6 :703!4.3,07 ,<,/,B E =034922, =,8;,4 =,,>494>07,3 808-0<46,9;0<?-,3,9B,92=4294146,9;,/,6034/?;,98,9?=4,84=,79B, 2090<,>:< ,<?=74=><46 -:7,6-,746fl090<,>:< ,<?=74=><46 -:7,6-,746 /,;,> 8092?-,3 090<24 6490>468095,/4 090<2474=><46 /,9 =,7,3 =,>?9B, /48,91,,>6,9/,7,8;08-,9264>74=><46 >09,2,,4< $ ( ,7,8 -,-4949/, ,6,9808;07,5,<4 >0:<4 /,9 ,;746,=4 B,92 -0<3?-?92,9 /092,9 ,<?=74=><46 -:7,6-,746 B,92 /43,=476,9 :70380/,9 8,290>=0<>,;09507,=,9809209,4,<?=74=><46-:7,6-,7464>?=09/4<4B,92 /4=0<>,4 /092,9 6:8;:9096:8;:909 /,9 <,926,4,9<,926,4,99B, /&5,3* -',420.#(/'4*, &#/253ffl*342*, 0-#,#-*, #$ !5.$'2 fi fi /&5,3* -',420.#(/'4*, '$'2#1#1-*,#3* /&5,3* -',420.#(/'4*, fi'23#.##/253 ffl*342*,0-#, #-*, '3*3402 /&5,402&#/ ffi#1#3*402&#-#. #/(,#*#/253 0-#,#-*, #/(,#*#/ !'2* #6#1#&# #/(,#*#/ "(+()()0505+((2(5+0(1(2;5:;24,5,8(72(52659,72,309:802(5+(52,4(.5,:(5+(3(4 ),8)(.(07,5>,3,9(0(54(9(3(/+(5786+;2:,25636.0+,5.(5*(8(4,4-684;3(902(52659,7 05+;290(8(+(>+(5(8;9)63(2)(3029,8:(7,5,8(7(55>(
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi /&5,3*-',420.#(/'4*, $,/,,- 9/,>07,380920>,3?4-,3A,,<?=74=>46/,;,>80923,=476,9 80/,98,290>,7,8=,49=-0<7,6?;<49=4;=480><4,>,?60-,746,9ff46,,<?= 74=><4680948-?76,980/,98,290> ,;,6,380/,98,290>80923,=476,9 ,<?=74=><46 "ffl!flfi$ fl)flfffl. E ,/,7,3 :<,92 B,92 >07,3 80908?6,9 205,7, >0<=0-?> ,<,/,B80908?6,9 -,3A, ;0<?-,3,9 17?6= 8,290>/,;,>80923,=476,92,B,20<,674=><46flfl /,9,<?=74=><4649/?6=4 fl05,7,494/4=0-?>ff$fl"ffifl#!fifflff#fl/,9,;746,=49B,,6,9/4-,3,=70-43 <49.4;,/,-,-494 ,31'2*.'/#2#&#/5,5.ffl'/7 # ,31'2*.'/ #2# )9>?680908?6,95,A,-,9,;,6,380/,98,290>80923,=476,9,<?= 74=><46 ,<,/,B807,6?6,9 06=;0<4809 /092,9 =?=?9,9 ;0<,7,>,9 =0;0<>4 /4;0<743,>6,9;,/,fl%ffifl)fi?8;,<,9;0<>,8,/43?-?926,960=0-?,3 -,>0<,4 /,9 6?8;,<,9 60/?, /43?-?926,9 60 2,7@,9:80>0< ,<,/,B -0<3,<,;,<?=;,/,6?8;,<,9;0<>,8,80923,=476,980/,98,290>B,92 .?6?;-0=,<?9>?680923,=476,9,<?=;,/,6?8;,<,960/?,fi0>46,=,607,< /43?-?926,95,<?82,7@,9:80>0<809B48;,92=0=,,>/,9=020<,608-,74 60;:=4=49:7/,9>0>,;9:760>46,,<?=9B,6:9=>,9ffi,7>0<=0-?>809?95?66,9 -,3A,,<?=6:9=>,9;,/,6?8;,<,9;0<>,8,>4/,680923,=476,9,<?=74=><46 ;,/, 6?8;,<,9 60/?,6,9 >0>,;4 60>46, =,607,< /4;?>?==,8-?926,9 5,<?82,7@,9:80>0<809B48;,926064<4/,9606,9,9 #.$#2 $2,4(7,8(3(:(5,27,804,5 (8(+(> ,<4 3,=47 06=;0<4809 >0<=0-?> ,<,/,B809B48;?76,9 -,3A, ;0<?-,3,980/,98,290>80923,=476,9,<?=74=><46#7036,<09,,<?=74=><46 8092,74<546,,/,=?8-0<>02,92,9/,;,>;?7,/46,>,6,9-,3A,;0<?-,3,9 80/,98,290>80923,=476,92,B,20<,674=><46flfl <?=/,9flfl B,92 >48-?7 ,64-,> ;0<?-,3,980/,98,290> /4=0-?> !$" /,9 ff$fl" =0/,926,9 ;0<4=>4A,8?9.?79B, ,<?= /,9flfl 49/?6=4 ,64-,> ;0<?-,3,9 80/,98,290>/4=0-?>ff$fl"ffifl#!fifflff#fl '07,49 06=;0<4809 >0<=0-?> ,<,/,B807,6?6,9 06=;0<48097,95?>,9 /092,980922?9,6,98,290>>0>,;/,96?8;,<,9=0;0<>4/4;0<743,>6,9;,/, fl%ffifl)flfl 49/?6=48?9.?7;,/,6?8;,<,960>46,8,290>/420<,66,9 607?,<8,=?66?8;,<,9flfl 49/?6=45?2,>0<5,/460>46,8,290>9B,/4,8/,9 6?8;,<,99B,-0<20<,68,5?8?9/?<ff,/420<,6,9<07,>41,9>,<,8,290>/,9 6?8;,<,9/4;0<7?6,9?9>?680923,=476,9flfl 49/?6=4 2,7@,9:80>0< 49>4-0=4 -,>0<,4 =,607,< 7(2(/>(5.5+( 2,:(/;0:,5:(5. /;);5.(5(5:(8( 2,4(.5,:(5+(5 2,309:802(5 ",8/(:02(53(/.(4)(8 ),802;: ff,4(5(2(/(8(/4,+(5 4(.5,:+0:0:02" 7(2(/>(5.5+( 2,:(/;0:,5:(5.(8;9 309:802)63(2)(302 !0#- $ $ !ffl#! !5.$'2 fi ffl fi
ffi5+;2903,2:864(.5,:02+(58;9fi09:80263(2(302 #.$#2 fi05+;290:04);32,:02( (+(.,8(28,3(:0-(5:(8( 4(.5,:+(52;47(8(5 ( (.5,:),8.,8(24(9;2 ) (.5,:),8.,8(22,3;(8 * (.5,::0+(2),8.,8(2 9/,>09>?49249808-?6>46,9;0<.:-,,9,<,/,B-?6,9)9>?64>? 7,6?6,97,36024,>,9=0/0<3,9,-0<46?>494=0.,<,-0<607:8;:6 $ 5,5.ffl'/7 <?=49/?6=4B,92/43,=476,9:70320<,6,9607?,<8,=?68,290>/,7,8 6?8;,<,9>0<B,>,-:7,6-,746,2,48,9,6,4>,9,9>,<,20<,6,9>0<=0-?>/,9 ,<,3 ,<?=49/?6=4 0<6,4>,9 /092,9 3,7 >0<=0-?>fi&/809208?6,6,9 -,3A,,<?=49/?6=4=07,7?80948-?76,980/,98,290>49/?6=4-0<7,A,9,9 /092,9 ;0<?-,3,980/,98,290> ,=,79B, $0<9B,>,,9 >0<=0-?> /4609,7 =0-,2,4ffi?6?8 09C)9>?6808,3,84 ;090<,;,9ffi?6?8 09C ;0<3,>46,97,3.:9>:3-0<46?>494 $fl+ fffl&fl!fl& '0-?,36:8;,= fi,A,>>08-,2,8 49.49-0=4 ,>0<,4 ',607,< )'*fiff,) '4,;6,9 ,7,> /,9 -,3,9 608?/4,9 =?=?97,3 =0;0<>4 2,8-,< /4 =,8;492 fi?8;,<,9 ;0<>,8, /43?-?926,9 60 =0-?,3 -,>0<,4 =0/,926,9 6?8;,<,9 60/?,/47474>6,9;,/,=0-?,36:8;,= (?>?;7,3 =,607,< ';,6,3 B,92 >0<5,/4 ;,/,5,<?86:8;,= ?6,7,3 =,607,< ';,6,3 B,92 >0<5,/4 ;,/, 5,<?8 6:8;,= (?>?; /,9 -?6,7,3 =,67,< ' =0.,<, -0<2,9>4,9/,9>0<?=8090<?=;,6,3B,92,6,9>0<5,/4;,/,5,<?86:8;,= ;, B,92 /,;,>9/, =48;?76,9 /,<4 ;0<.:-,,9 >0<=0-?>;,6,3 3,=479B, =,8,/092,93,=47B,92/4;0<:703,<,/,B fi%ffi,#+"#fl&fi)ffl'ffiflfl&fl)flfffl. ff#)*2ff'/'-*4* 6:8;,= =,607,< -,>0<,4 .49.49 -0=4 !5.$'2 fl ffi ffl !5.$'2 fi ffl fi
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi '06,<,92 >495,? 60>46,8,290> -,>,92 >07,38070A,>4 .49.49 /,98094922,76,9 8095,?34.49.49fl,<4=2,<4=2,B,8,290>B,928,=?6.49.498095,/4-0<6?<,92 =034922,,<?=49/?6=48?9.?7?9>?6809,8-,32,<4=2,B,>0<=0-?>64-,>9B, =0,<,3 /092,9 =0;0<>4 /4;0<743,>6,9 ;,/, fl%ffifl) ffl '0=?,4 /092,9 6,4/,3 >,92,9 6,9,9 ,<,3 ,<?=49/?6=4 =0,<,3 ;?>,<,9 5,<?8 5,8 '0.,<, 60=07?<?3,9 ;0<4=>4A, >0<=0-?>80923,=476,9 ,<?= -:7,6-,746 B,694 ,<,3 ,<?=49/?6=4 ;,/, .49.49B,92=08?7,-0<7,A,9,9,<,3;?>,<,95,<?85,8608?/4,98095,/4=0,<,3 ;?>,<,9 5,<?8 5,8 ffi?6?8 09C /,;,>9/, -?6>46,9 /092,9807,6?6,9 ;0<.:-,,9 =0/0<3,9,-0<46?> $fl+ fffl&fl!fl& '0-?,38,290>-,>,92 fi?8;,<,96,A,>>08-,2, ?, -?,3 #ffl#fffi )'*fiff,) '4,;6,9 ,7,> /,9 -,3,9 608?/4,9 =?=?97,3 =0;0<>4 ;,/, 2,8-,< &,926,47,3/?,-?,3 =0.,<,;,<,707/092,9,<,3B,92-0<7,A,9,9608?/4,9 3?-?926,9<,926,4,9>0<=0-?>;,/,6?8;,<,9 !,=?66,97,36?>?-)8,290>-,>,9260/,7,86?8;,<,9;,6,3B,92>0<5,/4 ;,/,60/?, fi& fl%fl+")fl!fifffl&fl &fi+&ff,#*".fl& "+"%ffi,$#fl&'$fi!),*&ff,#*" ff#)*2ff'/'-*4* '0-?,38,290> -,>,92 5,>?3 -0-,=807,7?4749>,=,9 B,92 -0<48;4> /092,9 =?8-? .49.496,A,>=0;0<>4/4;0<743,>6,9;,/,fl%ffifl)fl(09>?6,9,<,3,<?=;,/,.49.49 fl-flffi !?7,8?7, >495,? 60>46,8,290> -,>,92809?5? 809/06,>4 .49.49 =0;0<>4 /4;0<743,>6,9 ;,/, fl%ffifl) ffi<,3 2,<4=2,<4= 2,B,80/,98,290> B,92 /43,=476,9 :7038,290> -,>,92 =0;0<>4/4;0<743,>6,9 ;,/, 2,8-,<,B,926,9 =08?7,3,9B,-0-0<,;,-?,32,<4=2,B,80/,98,290>B,928,=?660/,7,8.49.49 fi0>46,8,290> -,>,92809/06,> 2,<4=2,<4= 2,B,80/,98,290> B,928,=?6 60 /,7,8 .49.49 =08,649 -,9B,6$0<?-,3,9 >0<=0-?> ,6,980948-?76,9 ,<?=49/?6=4 ;,/,.49.49<?=>0<=0-?>8?9.?7?9>?6807,A,9;0<?-,3,92,<4=2,B,#7036,<09, 2,<4= 2,B, -0<>,8-,3 -0<,<>4 ,<?=49/?6=48?9.?7 ?9>?68092?<,924 2,<4= 2,B, >0<=0-?>092,9 /08464,9 ,<,3 2,<4= 2,B,8,290> :703 ,<?=49/?6=4 ,/,7,3 -0<7,A,9,9 /092,9 ,<,3 2,<4= 2,B,8,290> B,92 /43,=476,9 :7038,290> -,>,92 '0=?,4 ,>?<,9 >,92,9 6,9,94-? 5,<4809?95?66,9 /,9 5,<45,<47,499B, 809?95?66,9 ,<,3 ,<?=49/?6=4 ;,/, .49.49 ,/,7,3 -0<7,A,9,9 ,<,3 ;?>,<,9 5,<?85,8 .49.49 ' ) ' ) ' ) fl'-#+#) *3*,# 0*/(,3 (8(+(> 0(3(/ 034;<(5 ffi5..809>(5.4,5+(7(:1;3;2(5 (7(2 fi09:802 ffi( 4,47,3(1(80 ),8)(.(0)0+(5.034; 7,5.,:(/;(5:,84(9;2 ,3,2:864(.5,:02+(5 ,3,2:862040( -,2 4(.5,:02 4,5;5:;55>(4,5,4;2(50+, 0+,>(5.4,51(+0+(9(8:,680 4,+(54(.5,: !5.$'2fflfflfflffl fl ffi ffl ff*%)#'-#2# 8
ffi5+;2903,2:864(.5,:02+(58;9fi09:80263(2(302 ffl/&5,3* ,<4-0<-,2,406=;0<480949/?6=40706><:8,290>46B,92/47,6?6,99B, ,<,/,B70-435,?380908?6,9-,3A,-0=,<,9B,92-0<;092,<?3>0<3,/,; 8?9.?79B, ,<?=49/?6=4 ,/,7,3ffi$fl"fflff# 7?6=8,290> ,/,7,3 5?87,3 2,<4=2,<4=2,B,80/,98,290>B,9280908-?=>02,67?<?=-4/,92/092,9 7?,=>0<>09>?=0;0<>4/4;0<743,>6,9;,/,fl%ffifl)fl'0.,<,?8?8546, 2,<4= 2,B,80/,98,290>808-09>?6 =?/?> /092,9 9:<8,7 -4/,92 fl%ffifl)ffi17?6=8,290>9B,80809?34;0<=,8,,9 .:= E fi)*fl%flfl&0808;0<743,>6,9-,3A,17?6=8,290>/,;,>-0<?-,3/092,9 .,<,8092?-,384948?8=,7,3=,>?-0=,<,9,9>,<,7,4980/,98,290>7?,= ;09,8;,92 6?8;,<,9 ,>,? =?/?> fl0<,6,98,290> -,>,92 /,7,8 6?8;,<,9;,/,/,=,<9B,8092?-,3 -0=,<80/,98,290> B,92/474926?;4 6?8;,<,9$0<?-,3,97?,=6?8;,<,9/,;,>/47,6?6,9/092,9809220<,66,9 -,>,92 6:9/?6>:<808:>:9280/,98,290> $0<?-,3,9 =?/?> /,;,> /47,6?6,9/092,9.,<,808?>,<6?8;,<,9/,7,880/,98,290> ff46, >0<5,/4 ;0<?-,3,9 17?6=8,290> ;,/, 6?8;,<,9flfl ,>,? ,<?= 49/?6=4 ,6,98?9.?7 ;,/, 6?8;,<,9 >0<=0-?>ffi,=47 06=;0<4809 ,<,/,B 809?95?66,9-,3A,-0=,<flfl 49/?6=4;,/,6?8;,<,9=0-,9/492/092,9 7,5?;0<?-,3,917?6=8,290>/,95?87,37474>,96?8;,<,9'0.,<,8,>08,>4= flfl 49/?6=4=0=,,>/4>?74=6,9 # E /092,9 flfl 49/?6=4=0=,,> @:7> 5?87,37474>,9/,9 d dt 7,5?;0<?-,3,917?6=A0-0<=06:9 fi07?,<6,97,3 8,290> -,>,92 /,<4 /,7,8 6?8;,<,9;,6,3B,92>0<5,/4;,/,60/?, ,6?6,97,3 ;0<.:-,,9 B,92 =,8, >0>,;4 6?>?-8,290> B,92 /48,=?66,9 60 /,7,8 6?8;,<,9 /42,9>4 /092,9 6?>?- '8,>4 B,92 >0<5,/4;,/,60/?, ;,6,3 B,92 /,;,>9/, =48;?76,9 /,<4 ;0<.:-,,9>0<=0-?> #.$#2 ,+(54(.5,::,.(2 ( 3;8;9)0+(5.+(5 ) 4,4),5:;29;+;: +,5.(5 5684(3 )0+(5. !5.$'2fflfflfflfifl fl ffi ffi ffi fl ffi
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi fi)*fl%flfl& 0/4609,7 =0-,2,4ffi?6?8 ,<,/,B (,9/,849?= ;,/, ;0<=,8,,9>0<=0-?>809B,>,6,9-,3A,flfl ,>,?,<?=49/?6=480923,=476,9 17?6=49/?6=4B,92807,A,9;0<?-,3,917?6=8,290>,=,79B,;09B0=?,4,9 /092,93?6?8 09C '07,49947,4=0=,,>9B,flfl 49/?6=45?2,=0<492/49B,>,6,9/,7,8947,4 <,>,<,>,9B, ff46, /,7,8 =07,92A,6>? #>0<5,/4 ;0<?-,3,9 17?6=8,290> =0-0=,< flfl 49/?6=4<,>,<,>,;,/,6?8;,<,980809?34;0<=,8,,9 # E %;8;5(5 +0-,8,590(3 +(80 -;5.90fiff+056:(902(5 +,5.(5 (:(;fi (:(; ff +(5 +0+,-050902(5 9,)(.(0 304 304 Jangan ffl51# '0-?,3 6?8;,<,9 >0</4<4 ,>,= 7474>,9,7,8 =07,92A,6>? 8474=06:9 17?6= 8,290> /,7,8 6?8;,<,9 -0<?-,3 =0-0=,< F E A0-0< (09>?6,9flfl 49/?6=4 <,>,<,>,;,/,6?8;,<,9 fl-flffi 460>,3?4 # 8= F E =/,9 F E +- flfl 49/?6=4<,>,<,>,9B,,/,7,3 3 3 (3 10 Wb) (20) 12 (5 10 s) N t * '0-?,36?8;,<,9>0</4<4,>,= 7474>,9-0<,/,/,7,880/,98,290>B,92,<,39B, =05,5,< /092,9 -4/,92 6?8;,<,9 0=,<80/,98,290> -0<?-,3 >0<3,/,;A,6>? 809?<?>;0<=,8,,9 E =49 #ff46,7?,=;09,8;,926?8;,<,9.8 /,9 3,8-,>,9 /,7,8 6?8;,<,9 :38 >09>?6,9 , ;0<=,8,,9 17?6=8,290> =0-,2,4 1?92=4A,6>? - flfl 49/?6=48,6=48?8 /,9 . ,<?=49/?6=48,6=48?8 ;,/, 6?8;,<,9 fl-flffi 460>,3?4 E =49 #.8 F E 8 /,9 :38 , !0/,98,290>=05,5,<-4/,926?8;,<,9-0<,<>4=?/?>,9>,<,/,92,<4=9:<8,7 ,/,7,3 D8,6,17?6=8,290> # # .:= =49 8 =49 +- - ,<4 3,=47 , =49 =49 # # # =034922,flfl 49/?6=49B,,/,7,3 =49 =49 ## # /,9/,<4=494/4;0<:703flfl 8,6=48?89B,,/,7,3 8,6= *flfl 8,6=48?8 /4;0<:703546, =49 # ,8-473,<2,;:=4>419B, =,5, . <?=49/?6=48,6=48?8 ,/,7,3 * :38 fflfl" fflfl"
ffi5+;2903,2:864(.5,:02+(58;9fi09:80263(2(302 '0-?,3 ;0<=024 /092,9 =4=4 .8 >0</4<4 ,>,= 7474>,9-0<,/,;,/,80/,98,290>=0<,2,8 >0=7, B,9280908-?= >02,67?<?= -4/,92 ;0<=024 =0;0<>4 /4;0<743,>6,9 ;,/, 2,8-,< /4 =,8;492 fi?8;,<,9 /4>,<46 =0.,<, >4-,>4-, 607?,</,<4/,0<,3-0<80/,98,290>60/,0<,3 >,6 -0<80/,98,290>/,98080<7?6,9A,6>? =06:9?9>?6807,6?6,93,7 >0<=0-?> , (09>?6,9flfl <,>,<,>, B,92 >48-?7 ;,/, 6?8;,<,9 - ff46, <0=4=>,9=4 6?8;,<,9 :38 -0<,;,6,3 /,B, B,92 /4=0<,;6?8;,<,9 fl-flffi $,95,92=4=4;0<=024 .88,6, F .8 F E 8 80/,98,290>=08?7, : ( /,0<,3 >,6 -0<80/,98,290> 7474>,9 # = /,9 , $0<?-,3,9 17?6=8,290> fi ( 8 +- 8,6,flfl 49/?6=4<,>,<,>,,/,7,3 +- * = # @:7> - <?=74=><46 ;,/, 6?8;,<,9 * =034922,/,B,B,92/4=0<,;6?8;,<,9,/,7,3 +8+ ffl02( > 905 -= :;8;5(55>( (+(3(/ *69 ff Jangan ffl51# ffl/&5,3*1#&#ffi0/&5,4026#/('2('2#,&#-#. ff'&#/ff#(/'4!'2#(#. # ffi0/&5,402 '2('2#, ffl5253 "'(#, ffl5253ff'&#/ff#(/'4 $0<3,>46,9fl%ffifl) fl'0-?,36:9/?6>:<$%/,;,>-0<20<,6-0-,=/4 ,>,=,>,?80908;07;,/,6,A,>-0<-09>?6)B,92-0<,/,;,/,80/,98,290> /092,9,<,380908-?=-4/,9260<>,=ff46,6:9/?6>:</420<,66,9/092,9-0=,< 60.0;,>,9v/,7,8=07,92A,6>? #5,<,6B,92/4>08;?39B,,/,7,3 %v # 64-,>9B,,/,;0<?-,3,97?,==0-0=,< ffi %ffiv # =034922, 17?6=8,290>B,92/474926?;46,A,>)/,96:9/?6>:<$%-0<?-,3 =0-0=,< B A Blv t '0=?,4/092,9ffi?6?8,<,/,B;,/,;0923,9>,<$%>48-?7flfl 49/?6=4 <,>,<,>,?9>?6 =0-0=,< (1) Blv t N Blv t t ,>,?,8-473,<2,;:=4>419B, Blv E flfl 49/?6=4<,>,<,>, ;,/,fi)*fl%flfl&0 /,;,>/4,<>46,9=0-,2,4 -0/,;:>09=4,7,9>,<,60/?,?5?926:9/?6>:<$%fi09B,>,,9>0<=0-?>/,;,> /4>?<?96,9/,<4/01494=4-0/,;:>09=4,7B,92=?/,3/4-,3,=;,/,,- B,694 v @ 8;905+;290 @ 297,804,5(8(+(> @ 3;294(.5,: @ fi 05+;290 @ fl;2;5fi,5? @ ,+(54(.5,: ffi#4#ffi5/%*
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi '06,<,92>495,?0706><:90706><:9;,/,6:9/?6>:<$%/092,98?,>,9 8,=4928,=492 fi0>46, 6:9/?6>:< $% /420<,66,9 60 6,9,9 /092,9 60.0;,>,9 v 808:>:92 >02,67?<?=80/,98,290> 743,>fl%ffifl) ffi -0<,<>4 -0<20<,6/092,960.0;,>,9/,9,<,3B,92=,8,64-,>9B,0706><:9 0706><:9809/,;,>6,92,B,60-,A,3=0-0=,< v =034922,0706><:90706><:9,6,9>0<6?8;?7/4%/,98094922,76,98?,>,9 ;:=4>41/4$)=,3,?9>?680849/,36,98?,>,9 /,<4%60$,/,7,3 ffi vffi =034922,-0/,;:>09=4,7,9>,<,>4>46$/,9%,/,7,3 PQ W V Blv q B,92=,8,/092,9fi)*fl%flfl&0 ffi,=47>0<=0-?>5?2,809?95?66,9-,3A, ;:>09=4,7>4>46$70-43>49224/,<4;,/,;:>09=4,7>4>46% fi)*fl%flfl& 0 >0>,; -0<7,6?80=64;?9 6,A,>) >4/,6 /474-,>6,9 092,96,>,7,4960>46,6:9/?6>:<$%/420<,66,9808:>:9280/,98,290> /092,9 60.0;,>,9 v ;,/, ?5?92?5?92 6:9/?6>:< ,6,9 >0</,;,> -0/, ;:>09=4,7 $%ffiv fi0>46,6:9/?6>:<$%/43?-?926,960<,926,4,97?,<-0<3,8-,>,9 ,<?= ,6,98092,74< =0-0=,< /,<4 ;:>09=4,7 >49224 60 ;:>09=4,7 <09/,3 ,>,?/,<4$60%807,7?4&,7,83,74946:9/?6>:<$%/,;,>/4;,9/,92 =0-,2,4=?8-0<>02,92,9/092,9$=0-,2,46?>?-;:=4>41/,9%6?>?-902,>41 =0;0<>4/4;0<743,>6,9;,/,fl%ffifl) ffl fi:9/?6>:< $% /092,9 ;,95,92 .8 /420<,66,9808:>:9280/,98,290> ( /092,9 60.0;,>,9 8= =0;0<>4/4;0<743,>6,9;,/, 2,8-,< , (09>?6,9 -0/,;:>09=4,7 ,9>,<, 60/?,?5?92 6:9/?6>:< - ff46, ?5?92?5?92 6:9/?6>:< /43?-?926,9 /092,9 <0=4=>,9=4 :38 -0<,;,6,3 ,<?= B,928092,74<807,7?4 . fi08,9, ,<,3 ,<?=;,/, #.$#2 ff65+;2:68"#),8.,8(2 4,46:65.:,.(23;8;9 4,+(54(.5,: (+0(:(92(<(:&+(5 ):(57(2(<(:&9,8:( *+(7(:+0(8:02(59,)(.(0 9;4),8:,.(5.(5>(5. +0/;);5.2(5+,5.(5 8(5.2(0(53;(8 v fl ffi ffl 1 1 v x vt =
ffi5+;2903,2:864(.5,:02+(58;9fi09:80263(2(302 fl-flffi 460>,3?4ffi .8 F E8 (v 8=/,9 $ ffi0/&5,402 '2154#2 &#-#. ff'&#/ ff#(/'4 '07,49 /092,9 .,<,809220<,66,9 6:9/?6>:< >02,67?<?=808:>:92 80/,98,290>=0.,<,><,9=7,=4flfl 49/?6=45?2,/,;,>>0<5,/4/092,9.,<, 808?>,<6:9/?6>:<>02,67?<?=80/,98,290>=0;0<>4/4;0<743,>6,9;,/, fl%ffifl)fi:9/?6>:<$%/092,9;,95,92ffi/4;?>,</092,9=?8-?;?>,< 807,7?4$ff46,60.0;,>,9=?/?>;?>,<6:9/?6>:< /,7,8=,>?;0<4:/0 # ?,=/,0<,3B,92/4=,;?6:9/?6>:<=,8,/092,97?,=74926,<,9B,694 ffi 092,9/08464,9;0<?-,3,917?6=8,290>9B,,/,7,3 ffi =034922,flfl <,>,<,>,B,92/43,=476,9,/,7,3 ffi ffi ffi # ,>,?,8-473,<2,;:=4>419B, ffi E #.$#2 ff65+;2:68"#),87;:(8 +(3(44,+(54(.5,: $ % , 0/, ;:>09=4,7 ,9>,<, 60/?, ?5?92 6:9/?6>:< ,/,7,3 2 V Blv (0,50T)(5 10 m)(10 m/s) 0, 25* - <?=74=><46 ;,/, <0=4=>:< ,/,7,3 * . )9>?680909>?6,9,<,3,<?=;,/,>0<70-43/,3?7?9/,>09>?6,9;:>09=4,7 8,9,B,9270-43>49224,9>,<,>4>46$/,9>4>46%)9>?64>?>495,?7,30706><:9/4 /,7,86:9/?6>:<$%fi0>46,6:9/?6>:<-0<20<,6606,9,9-0<,<>40706><:95?2, -0<20<,6606,9,9#703 6,<09,-0<,/,/,7,880/,98,290>=0=?,4 ,>?<,9 >,92,96,9,90706><:9 ,6,9809/,;,>2,B,8,290> 809?5?$ffi,7 >0<=0-?> 8092,64-,>6,9 0706><:9 ,6,9 >0<6?8;?7/4 >4>46 $/,98094922,76,98?,>,9 ;:=4>41/4>4>46%092,9/08464,9;:>09=4,7/4>4>46%70-43>49224/,<4;:>09=4,7 /4>4>46$fi0>46,/43?-?926,9/092,9<,926,4,97?,<,<?=74=><46,6,98092,74< /,<4>4>46%807,7?4&809?5?>4>46$ P Q R i fl v F q ffi
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi /&5,4#/3* # /&5,4#/3* *2* $0<9,36,39/,8080<3,>46,9-:7,7,8;?;45,<=0=,,>=0>07,3/48,>46,9 807,7?4 =,607,<(0<9B,>, ;45,< 6,A,>A:71<,8 >4/,67,92=?928,>4 >0>,;4 8,=43809B,7,80<,3=0=,,>/,9608?/4,9-,<?-09,<-09,<;,/,8!092,;, /08464,9'*fi(!fi&). E ,/,7,3 :<,92 B,92 >07,380908?6,9 5,A,-,9/,<4;0<>,9B,,9>0<=0-?>ff:=0;3ffi09<B/,9!4.3,07,<,/,B,/,7,3 /?, :<,92 B,92 =0.,<, >0<;4=,3 >07,3 80908?6,9 ,/,9B, 49/?6=4 0706><:8,290>46'0-09,<9B,ffi09<BB,9270-43/,3?7?80908?6,99B,>0>,;4 ;0908?,9,<,/,B>07,370-43/,3?7?>0<;?-746,=46,9 !09?<?>ffi09<B;0<?-,3,9,<?=74=><46;,/,6?8;,<,9/,;,>80923,=47 6,9flfl 49/?6=4/4<4;,/,6?8;,<,9>0<=0-?>$,/,6,=?=808,>46,97,8;? ;45,<6,A,>8,=43;45,<80=64;?9/092,949>09=4>,=60.47,64-,>,/,9B,flfl 49/?6=4/4<40=,<9B,flfl 49/?6=4/4<4=0-,9/492/092,97,5?;0<?-,3,9,<?= 74=><46/,7,86?8;,<,9'0.,<,8,>08,>4=flfl 49/?6=4/4<4/49B,>,6,9:703 ;0<=,8,,9 # E /092,9 49/?6>,9=4/4<4/49B,>,6,9/,7,8=,>?,9309<Bffi/,9 di dt 7,5?;0<?-,3,9,<?=74=><46/,7,8=,>?,9,8;0<0;0<=06:9= fi)*fl%flfl& 0 80<?;,6,9;0<=,8,,9flfl =0=,,>/,;?9flfl 49/?6=4 /4<4<,>,<,>,/,7,8=07,92A,6>? t ,/,7,3 i L t E fi)*fl%flfl&0 ,>,?0 /4=0-?>ffi?6?8ffi09<B ,7,8 6,4>,99B, /092,9ffi?6?8 ,<,/,Bflfl 49/?6=4 /4<4 ;,/, 6?8;,<,9/,;,>/4507,=6,9/092,9809495,?=0-?,36?8;,<,9,>,?=:709:4/, =0;0<>4 /4;0<743,>6,9 ;,/, fl%ffifl) fi0>46, ,<?=74=><46 ;,/, =:709:4/, -0<?-,380/,98,290>/4/,7,8=:709:4/,5?2,-0<?-,364-,>9B, 17?6= 8,290>9B,;?9-0<?-,3!09?<?>,<,/,B;0<?-,3,917?6=8,290>>0<=0-?> B,928092,64-,>6,98?9.?79B,flfl 49/?6=4/4<4;,/, =:709:4/,092,9 /08464,9flfl 49/?6=4/4<4;,/,fi)*fl%flfl&0 =,8,/092,9flfl 49/?6=4 B,92/4<?8?=6,9:703,<,/,B;,/,fi)*fl%flfl&0B,694 # # # $,/,fl%ffifl) 546,;,95,92 6:9/?6>:< .8 60.0;,>,9 =?/?> <,/=/,9 80/,98,290> (>09>?6,9-0/,;:>09=4,7;,/,60/?,?5?926:9/?6>:< fl-flffi 460>,3?4ffi .8 8 <,/=/,9 ( 0/,;:>09=4,7,9>,<,60/?,?5?926:9/?6>:<,/,7,3 ( <,/= 8 ffi @:7> ffl69,7/fl,58>+03(/082(57(+( +03)(5>!,<>682"(+( fl,58>4,4(9;20 2,/0+;7(5(2(+,409,)(.(0 786-,968 (:,4(:02(+(50902( +0 2(+,40 3)(5> $,3(05 4,5.(1(8fl,58>1;.(4,3(2;2(5 ,297,804,5:,5:(5.4,905 ,3,2:864(.5,:029,8:(/;);5.(5 (5:(8(4(.5,:094,+(5309:802 >(5.+02,5(39,)(.(005+;290 !5.$'2 ffiflfl fl fl'-#+#) *3*,# ;?>,<,9 #.$#2 ff;47(8(5(:(;96365,0+( fl03'1)'/26 8
ffi5+;2903,2:864(.5,:02+(58;9fi09:80263(2(302 =034922,/4;0<:7033?-?92,9 E ff46, d di 6:9=>,9fi)*fl%flfl&0 /,;,>/4>?74==0-,2,4-0<46?> E fi?8;,<,9 B,928084746449/?6>,9=4 /4<4 /4=0-?> ff$fl#fi! ffl9/?6>:< -,9B,6/45?8;,4;,/,<,926,4,9,<?=-:7,6-,746/,9<,926,4,90706><:946 0<=,8, 6,;,=4>:<49/?6>:< 5?2, /42?9,6,9 /,7,8 <,926,4,9 :=47,>:< ?9>?6808-,9264>6,9207:8-,92/092,9 1<06?09=4 >0<>09>? ffl02( fi ff 5 +,5.(5 +(5 2659:(5:( 4(2( Jangan ffl51# @ ffi5+;2:(590 @ ffi5+;2:(590+080 @ ffi5+;2:(590903(5. ffi#4# ffi5/%* ':709:4/, /092,9 7474>,9 /,9 ;,95,92ffi /4,74<4 ,<?=74=><46 ?,= ;09,8;,92 =:709:4/, ,/,7,3(09>?6,949/?6>,9=4/4<4=:709:4/, >0<=0-?>"B,>,6,9/,7,8 /,9ffi fl-flffi 922,;7,380/4?8/4/,7,8 =?8-? =:709:4/, ,/,7,3 ?/,<, 7?6=8,290> B,92 /474926?;47?,=;09,8;,929B,,/,7,3 ffi (?<?9,9 >0<3,/,;,/,7,3 ffi ffi =034922, /,<4fi)*fl%flfl& 0 /4;0<:70349/?6>,9=4 /4<4 =:709:4/,80809?34 ;0<=,8,,9 ffi :9>:3494808;0<743,>6,9 -,3A,49/?6>,9=4 /4<4 /,<4 6?8;,<,9 49/?6>:< /4>09>?6,9 :703 /4809=4 ?6?<,9 6?8;,<,9 /,980/4?8 /4 /,7,89B, <?=74=><46;,/,6?8;,<,9-0<?-,3/,<48095,/49:7/,7,8A,6>? 8=ff46, 49/?6>,9=4 /4<4 6?8;,<,9 8ffi >09>?6,9flfl 49/?6=4 /4<4 ;,/, 6?8;,<,9 >0<=0-?> fl-flffi 460>,3?4 EE # 8= F E =/,9 8ffi F E ffi "47,4 flfl 49/?6=4 /4<4 ;,/, 6?8;,<,9 ,/,7,3 # *
"8(2:09,3(1(80902(;5:;2ff,3(9'ffiffi $ /&5,4#/3* !*-#/( (495,?7,3 /?, 6?8;,<,9 B,92 -0</06,>,9 =,>? =,8,7,49 =0;0<>4 /4;0<743,>6,9 ;,/, fl%ffifl) $0<?-,3,9 ,<?=74=><46 ;,/, 6?8;,<,9 ;0<>,8,,6,9809249/?6=4flfl ,>,?,<?=;,/,6?8;,<,960/?,B,925?2, -0<?-,3 '0-,7469B, ;0<?-,3,9 ,<?= ;,/, 6?8;,<,9 60/?, ,6,9 809249/?6=4flfl ,>,?,<?=;,/,6?8;,<,9;0<>,8,'0=?,4/092,9ffi?6?8 ffi09<Bflfl 49/?6=4 ;,/, 6?8;,<,9 60/?, ,64-,> ;0<?-,3,9 ,<?= ;,/, 6?8;,<,9;0<>,8,,/,7,3 # E '0/,926,9flfl 49/?6=4 ;,/, 6?8;,<,9 ;0<>,8, ,64-,> ;0<?-,3,9 ,<?= ;,/,6?8;,<,960/?,,/,7,3 # E fi:9=>,9>,60=0-,9/492,9 /4=0-?>ff$fl#ff" "ffiff '0-?,3=:709:4/,/092,9;,95,92ffi>0</4<4,>,= 7474>,9/,9808474647?,=;09,8;,92 ':709:4/,>0<=0-?>-0<,/,/4/,7,86?8;,<,97,49B,92>0</4<4,>,= 7474>,9922,; =08?,17?6=8,290>/,<4=:709:4/,8070A,>46?8;,<,9(09>?6,949/?6>,9=4=47,92=4=>08 >0<=0-?> fl-flffi !4=,79B, =:709:4/, /4,74<4 ,<?= B,92 -0<?-,3 >0<3,/,;A,6>? 7?6=8,290> B,92 /43,=476,9 =:709:4/, ,/,7,3 ffi =034922, # # # 7?6=8,290>>0<=0-?>8070A,>46?8;,<,960/?,=034922,;,/,6?8;,<,960/?, >48-?7flfl 49/?6=4 # ffi # $0<=,8,,9494 5?2, /,;,> /4>?74= =0=?,4fi)*fl%flfl& 0 # 8,6, # ffi # =034922,/4;0<:70349/?6>,9=4=47,92 ffi % /'2(* 6#/( "'23*.1#/ 1#&# /&5,402 '0;0<>43,79B,6,;,=4>:<49/?6>:<-0<1?92=4=0-,2,4;09B48;,9090<24 90<24>0<=48;,9;,/,49/?6>:</,7,8-09>?680/,98,290>fi0>46,,<?= 74=><46 8092,74<807,7?449/?6>:< /,9flfl 49/?6=4 /4<4 ;,/,49/?6>:< >0<=0-?> -0=,<9B, # #.$#2 ;(2;47(8(5>(5. ),8+,2(:(59(:;9(4(3(05 6?8;,<,9 6?8;,<,9
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 >2<2=2;E6?6B8:H2?8D6BC:>A2?A252:?5E<D@B252=29 ffi ffi! ! ! ffi+ ffi+ C69:?882 5:A6B@=69 ffi !ffi! ff?6B8: H2?8 D6BC:>A2? 5: 52=2>:?5E<D@B C6=2>2 2BEC>6?82=:B 52B: ?@=C2>A2:92B82<@?CD2? 5:A6B@=6956?82?42B2>6?8:?D68B2=<2?<65E2 BE2C52B:A6BC2>22? D6BC63ED ffi !ffi! ! ffi C69:?882 5:A6B@=69 N 56?82?6?6B8:H2?8D6BC:>A2?5:52=2>:?5E<D@B# ,63E29:?5E<D@B 56?82?:?5E<D2?C: >! 5:2=:B: 2BEC=:CDB:< -6?DE<2? 6?6B8:H2?8 D6BC:>A2?52=2>:?5E<D@B D6BC63ED "6"# ffl:<6D29E: >! R N !52? ff?6B8: H2?8 D6BC:>A2? 52=2>:?5E<D@B 252=29 ! # ,63E29<E>A2B2?36B25252=2>>652?>28?6DB29 >652? >28?6D >6?6>3EC D682< =EBEC 3:52?8 <E>A2B2? 2 A2<29 2BEC:?5E<C:>E?4E= <6D:<2 <E>A2B2? 5:86B2<<2? C6;2;2B>652?>28?6D 3 #:<2 <E>A2B2? 5:AED2B 2A2<29 >E?4E= 2BEC :?5E<C: -E=:C<2? 2=2C2? E?DE< <65E2 ;2G232? A6BD2?H22? D6BC63ED fi=E<C>28?6D A252 <E>AEB2? 56?82? =:=:D2? 36BE329 52B: N G636B>6?;25: ?@= 52=2>G2<DE >:=:C6<@? 2 fl6B2A2<29 % :?5E<C: H2?8 D:>3E= A252 <E>A2B2? 3 -6?DE<2?2BECA252<E>A2B2?;:<292>32D2??H2 @9> ,63E29 <@?5E<D@B 56?82? A2?;2?8 4> 5:AED2B >6>@D@?8D682<=EBEC>652?>28?6D56?82?A@B@C >6=2=E: C2=29 C2DE E;E?8?H2?D2B2 <65E2 E;E?8 <@?5E<D@BD6B52A2D3652A@D6?C:2= F@=D#:<236C2B >652?>28?6D - D6?DE<2? ;E>=29 AED2B2? <@?5E<D@B D:2A>6?:D &2+","/-") %* %"-". #5,5 -"4*)"//%" ,63E294:?4:?<2G2D56?82?5:2>6D6B 4>36B252 52=2>>652?>28?6DC6A6BD:A25282>32B36B:<ED #:<2>652?>28?6D36BE32952B:->6?;25: - 52=2>G2<DE >C D6?DE<2? 2 %:?5E<C: B2D2B2D2 52? 3 2B29 2BEC:?5E<C: A252 4:?4:? ,@=6?@:5256?82?A2?;2?84>D6B5:B:2D2C =:=:D2? 52?=E2CA6?2>A2?8 R N > 5:2=:B: 2BEC 2 -6?DE<2?:?5E<D2?C: C@=6?@:52 3 fl6B2A2<29 %:?5E<C:5:B:A252C@=6?@:52;:<2 2BEC=:CDB:<?H2>6?;25:?@=52=2>G2<DE >C 4 fl6B2A2<296?6B8:H2?8D6BC:>A2?A252C@=6?@:52 ffl7<.0:*5*-*5*14.+*524*7 <=:=7*7ff24*<=:=7*7;=*<= /=70;2-227<.0:*54*71*;257@* /=70;2;.6=5*ffl7<.0:*5 -278<*;24*7-.70*7 ff24* ! 6*4* -.70*7487;<*7<*27<.0:*5 Jangan ffi73$ !2$/fi(1*7$5$$1+ffl)!
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl (1(4$624475ffi,564,. !:?882C22D:?:)6?6>E2?fi2B252HD6=29>6>36B:<2?A6BE3292?H2?8 C:8?:7:<2?A252<69:5EA2?>2?EC:2>:C2=?H256?82?252?H286?6B2D@B2BEC =:CDB:<2D2E5:?2>@ffl6?82?252?H286?6B2D@B<6A6B=E2?2<2?6?6B8:=:CDB:< >6?;25: D6BA6?E9:A2=28: 6?6B8:=:CDB:<>6BEA2<2? 6?6B8: H2?8 C2?82D >E5295:E329>6?;25:6?6B8:=2:? 6?6B2D@B2BEC=:CDB:<>6?8E3296?6B8:>6<2?:<>6?;25:6?6B8:=:CDB:< )B:?C:A<6B;2?H2>6BEA2<2?<632=:<2?52B:>@D@B=:CDB:<H2?8CE529?52 A6=2;2B: 5: fl23 ".#"2 ">6>A6B=:92D<2? 5:28B2> C656B92?2 52B: 86?6B2D@B2BEC=:CDB:<3@=2<32=:<+@D@B2D2E2B>2DEB36BEA2C:=:?56B5:=:=:D @=69<2G2D52?36B2525:52=2>>652?>28?6DH2?85:92C:=<2?@=69>28?6D D6D2A.N,,6D:2AE;E?8<2G2D5:9E3E?8<2?<6C63E294:?4:?=E?4EBH2?8 D6BA:C29,6D:2A4:?4:?36B9E3E?82?56?82?C:<2DC:<2DH2?836B7E?8C:C63282: A6?89E3E?8<6B2?8<2:2?=E2B>:C2=?H2=2>AE ,E>3EB@D@B3:2C2?H25:9E3E?8<2?56?82?DEB3:?-EB3:?5:86B2<<2? @=692:BD6B;E?2D2E2:BH2?8>6>2?42B52B:36?5E?82?C6A6BD:A252)%- $6D:<2B@D@B36BAED2B %2D2E2BEC:?5E<C:>E?4E=A252<E>A2B2?,6D:2A C6D6?829AED2B2?2BEC=:CDB:<A252<E>A2B2?36B32=:<2B2952?2BECC6A6BD: :?:5:C63ED2BEC3@=2<32=:<2D2E2BECffi#+ffl)%+!%fifl,))ffl%+ ,6<2B2?8 D:?;2E=29 ".#"2 #&:C2=?H2 B@D@B 5:AED2B 56?82? <646A2D2? CE5ED ffl2=2>G2<DE+ CE5ED 2?D2B2 82B:C ?@B>2= <E>A2B2? 52?>652?>28?6D252=29 t fi=E<C>28?6DH2?85:=:?8<EA:<E>A2B2? 56?82?=E2C>6>6?E9:A6BC2>22? 4@C 4@C + %:?5E<C:C6C22DH2?85:92C:=<2??H2252=29 4@C C:? C:? ffi ffi + + + ffi+ ffi+ 2D2E $ C:? + N 56?82? m 252=29 %:?5E<C:>2<C:>E>H2?8>6>6?E9:A6BC2>22? $ N ffl&23".""/ 9>6?E?;E<<2?329G286?6B2D@B>6?892C:=<2? %H2?8 36BE329 C642B2 C:?EC@:52 B27:< % D6B9252AG2<DE 5:A6B=:92D<2? A252 ".#"2 ,6A6BD:A25286=@>32?8<646A2D2?CE5ED52A2D5:?H2D2<2?@=69 ff (%(4$3$3/,.$5,1'7.5,/(.6420$*1(6,. $0%$4 *fl.7.:*<8:*:=;52;<:24 +fi=69*:*7-29=<*:-*5*6 6.-*76*07.<-*7-*5*6 ?*4<=ff6.7.69=1 !8<8:52;<:246.70=+*1.7.:02 52;<:246.73*-2.7.:026.4*724 0.:*4 :8<*;2 Jangan ffi73$ B /2;2.7;2 <:*/8 B fl.7.:*<8:*:=;52;<:24 B fi=69*:*7 9:26.: B !24:8/87 B %.66*07.< B flffiffiffi B ':*/8 <:*7;/8:6*<8: B ':*/8fflfffl B ':*/8fflffflfifl fl$6$fl71&, . , ffi 4:?4:? C:<2D ! ! ! ! fl B@D@B " #
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 56?82? ff7B6<E6?C:52? A6B:@56 ffl2A2D5:=:92D52B:".#"2 329G2C6D:2AC6D6?829A6B:@56C6D6?829 86=@>32?8 %36BE32952B:A@C:D:7<6?682D:72D2EC632=:<?H2 ,6=2:? 2BEC 3@=2<32=:< 2BEC C62B29 ;E82 52A2D 5:32?8<:D2? @=69 86?6B2D@B 6?6B2D@BA6>32?8<:D 2BEC C62B295:C63ED 86?6B2D@Bfflffi ffi!)fflfl+ fl,))ffl%+ 6?6B2D@Bfflffi D:52<36B365256?82?86?6B2D@Bffi<64E2=:4:?4:? =E?4EB?H2H2?85:82?D:@=694:?4:?36=29H2?85:C63ED"&$,++&) $ $ + $0%$4 fl:*/24flfl @*70-21*;254*7 0.7.:*<8:<.:1*-*9?*4<= +@D@B86?6B2D@B5:AED2B56?82?7B6<E6?C:!I52=2>>652?>28?6D -#:<2 =E2C <E>A2B2? R N > 52? 86?6B2D@B>6>32?8<:D<2? %>2<C:>E> / 36B2A2<29 ;E>=29=:=:D2? <E>A2B2? "6"# ffl:<6D29E:ff!I - R N > 52?$ / $646A2D2? CE5ED?H2 252=29 ff !I B25 C "2* ffl&23".""/ 9 5:A6B@=69 / - > B25 C $ =:=:D2? "4$15)240$624 ,6=2:?86?6B2D@B2=2DH2?836<6B;236B52C2B<2?AB:?C:Afi2B252H252=29 +)%*ff&)$+&)2D2E+)ff&-B27@252=292=2DE?DE<>6?2:<<2?2D2E>6?EBE?<2? D682?82?=:CDB:<3@=2<32=:<-B27@32?H2<5:D6>E<2?A252A6B2=2D2?6=6<DB:< 52? 6=6<DB@?:< C6A6BD: D6=6F:C:+'ffl )fflfl&)ffiffl) B25:@ 252AD@B 52? C:CD6> DB2?C>:C: D682?82?=:CDB:< ,63E29 DB27@ D6B5:B: 2D2C 5E2 3E29 <E>A2B2? H2:DE <E>A2B2? AB:>6B 52?C6<E?56B56?82?:?D:36C:5:52=2>?H2C6A6BD:5:A6B=:92D<2?A252".#"2 $E>A2B2?AB:>6B5:9E3E?8<2?<6CE>36BD682?82?=:CDB:<3@=2<32=:< C652?8<2? <E>A2B2? C6<E?56B 5:9E3E?8<2? <6 A6B2=2D2?=:CDB:<=2:??H2 >:C2=?H2D6=6F:C:52?B25:@%6D2<<E>A2B2?AB:>6B52?C6<E?56BC656>:<:2? C69:?882 A6BE3292? 7=E<C>28?6D A252 <E>A2B2? AB:>6B 52A2D>6=:?D2C: <E>A2B2? C6<E?56B )B:?C:A <6B;2 DB27@ C63282: 36B:<ED $6D:<2 <E>A2B2? AB:>6B 5:9E3E?8<2?56?82?CE>36BD682?82?3@=2<32=:<2BEC=:CDB:<3@=2<32=:< >6?82=:B>6=2=E:<E>A2B2?AB:>6B(=69<2B6?22BEC3@=2<32=:<36BE329 C642B2 C:?EC@:52 7=E<C>28?6D H2?8 5:92C:=<2??H2 ;E82 36BE329 C642B2 C:?EC@:52 $0%$4 &4.6*;.-.:1*7* <:*7;/8:6*<8:*<*=<:*/8 AB:>6B C6<E?56B , ) :?AED @EDAED
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl fi=E<C>28?6DD6BC63ED>6?8:?5E<C:<E>A2B2?C6<E?56BC69:?882A252 <E>A2B2? C6<E?56B D:>3E= D682?82? 2D2E 2BEC H2?8 ;E82 36BE329 C642B2 C:?EC@:52,6CE2:56?82?!E<E>fi2B252H %2D2ED682?82?:?5E<C:A252 <E>A2B2?C6<E?56B252=29 , , , ffi ffi+ N 56?82? ;E>=29=:=:D2?<E>A2B2?C6<E?56B52? ffi ffi+ =2;EA6BE3292?7=E<C>28?6DA252<E>A2B2?C6<E?56B -682?82? AB:>6B ;E82 36B<2:D2? 56?82? A6BE3292? 7=E<C>28?6D H2?8 5:?H2D2<2?56?82?A6BC2>22? ) ) ) ffi ffi+ N 56?82? ) ;E>=29=:=:D2?<E>A2B2?AB:>6B52? ffi ffi+ =2;E A6BE3292? 7=E<C>28?6D A252 <E>A2B2? AB:>6B ?882A=29D:52<2527=E<CH2?89:=2?8>2<2 ffi , ) ffi ffi+ ffi+ C69:?8825:A6B@=69A6B32?5:?82?D682?82?<65E2<E>A2B2?252=29 , , ) ) N ffl&23".""/ 9 5:C63ED A6BC2>22? DB27@ )6BC2>22? D6BC63ED >6>A6B=:92D<2? 329G2 ?2:< 2D2E DEBE??H2 D682?82? 36B82?DE?8 A252 A6B32?5:?82? 2?D2B2;E>=29=:=:D2?AB:>6B52? C6<E?56B #:<2;E>=29=:=:D2? C6<E?56B=63:9 36C2B 52B:A252 ;E>=29=:=:D2? AB:>6B , ) D682?82? C6<E?56B=63:9 36C2B 52B:A252 D682?82? AB:>6B , ) -B27@ 56>:<:2? 5:C63ED+)ff&*+ffl','A6?2:<D682?82?,632=:<?H2;:<2;E>=29=:=:D2?C6<E?56B =63:9<64:=52B:A252;E>=29=:=:D2?AB:>6B, )D682?82?C6<E?56BAE? =63:9<64:=52B:A252D682?82?AB:>6B, )-B27@56>:<:2?5:C63ED+)ff& *+ffl'ffi&.%A6?EBE?D682?82? $6D:<2DB27@36<6B;26?6B8:2D2E52H252B:<E>A2B2?AB:>6B5:A:?529<2? <6<E>A2B2?C6<E?56B<2?D6D2A:D:52<C6>E252H252B:<E>A2B2?AB:>6B 5:A:?529<2?<6<E>A2B2?C6<E?56B<2B6?2C6=2=E2526?6B8:H2?8O9:=2?8P 2D2E36BE32936?DE<>6?;25:6?6B8:=2:?>:C2=?H2A2?2C(=69<2B6?2:DE 52H2 A252 <E>A2B2? C6<E?56B C6=2=E=63:9 <64:= 52B:A252 52H2 A252 <E>A2B2? AB:>6B )6B32?5:?82? 2?D2B2 52H2 A252 <E>A2B2? AB:>6B 52? 52H2 A252 <E>A2B2? C6<E?56B ) 5:C63EDfflff!*!ffl%*! +)ff& ,642B2 >2D6>2D:C67:C:6?C: DB27@5:?H2D2<2?@=69A6BC2>22? , ) N 56?82? 67:C:6?C: DB27@5:?H2D2<2?52=2>A6BC6? ffl2H2AB:>6B52?C6<E?56B>2C:?8>2C:?852A2D5:?H2D2<2?@=69A6BC2>22? )) )52?, , , N 56?82? 52? >2C:?8>2C:?82BECA252<E>A2B2?AB:>6B52?C6<E?56B !70%(4 fflfifflfifl 27,27+.;25=7*4@*70 -20=5=704*7-.70*74=69*:*7 -*:24*?*<<.6+*0*-*7 -292;*14*785.1+.7*7024*<-*7 4*27+.5*,=272-20=7*4*7 *:*-*@9*-*9.7.6=*77@* <.7<*7027-=4;2.5.4<:86*07.<24 *:*-*@6.7.6=4*7+*1?**:=; 52;<:249*-*4=69*:*79.:<*6* 6.726+=54*7*:=;52;<:249*-* 4=69*:*74.-=*6.;429=7 4*?*<4*?*<@*<2-*4 +.:;.7<=1*727,27<.:;.+=< 6.:=9*4*7<:*7;/8:6*<8: 9.:<*6*6.;429=7<2-*4 -2/=70;24*7;.+*0*2 <:*7;/8:6*<8:4*:.7**:*-*@ <2-*46.700=7*4*7*:=;+85*4 +*5246.5*274*7*:=;;.*:*1 @*70+.:;=6+.:-*:2+*<.:*2 !70%(4 flff (/$-$+ ,5,.$ ,1&,1$4$'$:
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 -B27@ H2?8 5:B2?42?8 56?82? 32:< 52A2D>6?42A2: 67:C:6?C:=63:9 52B: ffl6?82?<2D2=2:?C2?82DC65:<:D6?6B8:H2?85:E329>6?;25:A2?2C-B27@ 56?82?67:C:6?C:C636C2B:?:5:<2D2<2?>6?56<2D::562= 2D2E, ) (0ffl$*1(6 BEC:?5E<C:D:52<92?H2D6B;25:A252<2G2D2D2E<E>A2B2?-:?;2E=29 C63E29A:B:?82?=@82>H2?836BAED2B36B=2G2?2?2B29AED2B2?;2BE>;2> C6A6BD:5:A6B=:92D<2?A252".#"2 ,6328:2?52B:A:B:?82?36B25252=2>>652?>28?6D56?82?2B29>2CE< 3:52?8 R fl28:2? 52B: A:B:?82? H2?8 36B252 52=2>>652?>28?6D 2<2? >6?892C:=<2? %:?5E<C::?82D<@?5E<D@BH2?836B86B2<52=2>>652? >28?6DB292BEC:?5E<C:A252328:2?H2?836B25252=2>>652?>28?6D 252=29 <6 2D2C !E<E> %6?I 52? <6 32G29 A252 328:2? H2?8 36B252 5: =E2B>652?>28?6Dffl6?82?>6?88E?2<2?2DEB2?D2?82?<2?2?82H2A252 328:2? 2BEC52=2>>652?>28?6DA252A:B:?82?36B=2G2?2?56?82?2B29 86B2< A:B:?82?<:32D?H2 86B2< A:B:?82?>6?;25: 5:A6B=2>32D"?:=29 AB:?C:A<6B;2B6>>28?6D ffl,.42)21 &:<B@7@?252=292=2DH2?8>6?8E3296?6B8:3E?H:>6?;25:6?6B8:=:CDB:< $E>A2B2? B:?82?5:D6>A6=<2?A252>6>3B2? H2?8 36B25256<2D>28?6D D6D2A C6A6BD:5:A6B=:92D<2?A252".#"2 $6D:<2 C6C6@B2?8 36B3:42B2 >6?88E?2<2?>:<B@7@? D6BC63ED 86=@>32?8 3E?H: 2<2?>6?886D2B<2? ,63E29DB27@>6>:=:<:A6B32?5:?82?;E>=29=:=:D2?<E>A2B2?AB:>6B52?C6<E?56B fl28:2?:?AEDDB27@5:9E3E?8<2?<6CE>36BD682?82?=:CDB:<52B:)%'C636C2B /BEC@EDAED C6<E?56B252=29 2 -6?DE<2? D682?82? @EDAED DB27@ 3 #:<2 DB27@ 5:2?882A:562= 36B2A2 2BEC:?AED?H2 "6"# ffl:<6D29E:), ) 52? , 2 ffl2B:ffl&23".""/ 9 D682?82? @EDAED C6<E?56B DB27@ 252=29 , , ) ) / / 3 -B27@:562=>2<2, ) 2D2E) ), , C69:?8825:A6B@=69 , , ) ) / / $0%$4 $:27;294.:3*:.66*07.< fl.7.:*<8:9*-*9=;*< 9.6+*7042<52;<:2468-.:7<2-*4 6.701*;254*752;<:249*-* <.0*70*7<27002@*706.7,=4=92 =7<=4<:*7;62;2@*70./2;2.7 '.0*70*7-27*244*7-.70*7 <:*7;/8:6*<8:;<.9=9;=9*@* <:*7;62;23*:*43*=16.73*-2 ./2;2.7 !70%(4 flff "4$15)240$624 '$/$01'7564, (/$-$+ ,5,.$ !
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl fflffi 46=29 <E>A2B2? 2B29 A6B86B2<2? A:D2<2C6D $0%$4 * !24:8/87 +9.70.:*;;=*:* fifflfl ffi >6>3B2?52?C6<2=:8EC<E>A2B2? 6B2<2?<E>A2B2?52=2>>652?>28?6D 52B:>28?6D D6D2A 2<2?>6?892C:=<2? 2BEC:?5E<C: A252 <E>A2B2? fiB6<E6?C:52B:2BEC:?5E<C:H2?85:92C:=<2?C2>256?82? 7B6<E6?C:3E?H: H2?8>6?886D2B<2?>6>3B2?BEC:?5E<C: D6BC63ED 2<2? 5:A6B<E2D @=69 A6?8E2D <6>E5:2? 5:<:B:> <6 A6?86B2C CE2B2 H2?8 36B7E?8C:>6?8E329 6?6B8:=:CDB:<>6?;25:6?6B8:3E?H: <632=:<2?52B:>:<B@7@? )B@C6C>6B6<2>CE2B2<652=2>A:D2<2C6D52?>6>2:?<2?<2C6DA252 +'ffl)fflfl&)ffiffl)5:=2<E<2?@=69 fflffi'ffl)fflfl&)ffiffl)>6?82?5E?8=2A:C2?D:A:C@<C:52 >28?6D:< 52=2> A=2CD:< D:A:C $6D:<2>6B6<2> CE2B2 <6 52=2> A:D2 <2C6D fflffi36BD:?52<C63282:6=6<DB@>28?6D D:A:CH2?8>6>28?6D<2?328:2?52B: A:D2<2C6DH2?8>6=6G2D:46=29C6>A:D52=2> fflffi$6D:<2<2C6D5:>2:?<2? A6BE3292?<6>28?6D2?A252A:D2<2C6D52?46=29>6?H6323<2?A6BE3292? >652?>28?6D52=2> fflffi)6BE3292?>652?>28?6DD6BC63ED>6?:>3E=<2? %:?5E<C:A252<E>A2B2? %:?5E<C:D6BC63ED>6BEA2<2?C:?H2=@EDAED 52B: fflffi52? 5:A6B<E2D @=69 A6?8E2D C636=E> 2<9:B?H2 5:<:B:><2? <6 A6?86B2C CE2B2 $0%$4 $:8;.;6.:.4*6;=*:**<*= 6.6*274*7 4*;.< %>2<C:>E> H2?8 5:92C:=<2? 86?6B2D@B A252 AED2B2? A6B>6?:D 252=29 / fl6B2A2<29 %>2<C:>E>H2?85:92C:=<2?86?6B2D@BD6BC63ED A252 AED2B2? A6B>6?:D -E=:C<2?92=92=H2?852A2D?52=2<E<2?282B % >2<C:>E> H2?8 5:92C:=<2? 86?6B2D@B>6?:?8<2D >6?;25:5E2 <2=: C6>E=2 )6B32?5:?82? ;E>=29=:=:D2? <E>A2B2? AB:>6B 52? C6<E?56BC63E29DB27@252=29 $E>A2B2?AB:>6B DB27@ 5:9E3E?8<2? 56?82? CE>36B D682?82? / 56?82? 2BEC &2+","/-") %* %"-". #5,5 -"4*)"//%" 2 fl6B2A2<29 D682?82? @EDAED DB27@ 3 #:<2 2BEC @EDAED?H2 36B2A2<29 67:C:6?C: DB27@ -B27@56?82?67:C:6?C:5:8E?2<2?E?DE<>6?H2=2 <2? 3E29=2>AE /0H2?85:A2C2?8A2B2=6= )6B32?5:?82? ;E>=29=:=:D2??H2 252=29 -6? DE<2?=29 2 52H2 3 D682?82? 52? 4 2BEC A252 <E>A2B2? AB:>6B -6=29?52 <6D29E:A252A6>3292C2? C636=E>?H2 329G2 2BEC=:CDB:< 3@=2<32=:< 5:32?8<:D<2? @=69 86?6B2D@Bffi -682?82?=:CDB:< 3@=2<32=:< 36BE329D6B9252AG2<DEC642B2C:?EC@:52H2?8C642B2>2D6>2D:C5:DE=:C<2? A252ffl&23".""/ 9.?DE< C6=2?;ED?H2 D2?A2>6?8E329>2<?2 ffl&23".""/ 92<2?5:DE=:C52=2>36?DE<C63282:36B:<ED VV t m sin N fi(45$0$$1475ffi,564,.2/$.$/,. !2$/fi(1*7$5$$1+ffl)! " # >28?6D 5:27B28>2 CE>36B CE2B2 =:=:D2? A6BE3292? 2BEC=:CDB:< <6=E2B2? CE2B2 5:27B28>2 A6BE3292? 2BEC=:CDB:< >28?6D A6B>2?6? =:=:D2?
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 56?82? D682?82? C6C22D $ D682?82?>2<C:>E> AE?42< ff 7B6<E6?C:CE5EDB25 C A6B:@56 C ff 7B6<E6?C: !I52? + G2<DE C fl6C2B2?+5:C63ED CE5ED 72C6 B25ffl&23".""/ 9 >6?E?;E<<2? 329G2?:=2:D682?82?3@=2<32=:<36BF2B:2C:52B:N$C2>A2:56?82?$ $6D:<2CE>36BD682?82?5:9E3E?8<2?56?82?B2?8<2:2?=E2B2BEC=:CDB:< 3@=2<32=:< 2<2?>6?82=:BA252 B2?8<2:2? ,642B2E>E>A6BC2>22? 2BEC =:CDB:<52A2D5:?H2D2<2?@=69 C:? $ ! + N 56?82? ! 2BECC6C22D $ 2BEC>2<C:>E> AE?42<52? CE5ED72C62?D2B22BEC52?D682?82? ,6A6BD:92=?H2D682?82??:=2:2BEC=:CDB:<AE?36BF2B:2C:52B:N $C2>A2: 56?82? $ B27:<D682?82?52?2BEC3@=2<32=:<5:A6B=:92D<2?A252".#"2 36B:<ED:?: + 2D2E! $ $ $ 2$ $0%$4 '.0*70*7-*7*:=;52;<:24+85*4 +*524<.:1*-*9?*4<= ff,/$,405$6$7)(.6,) ".#"2 >6>A6B=:92D<2? 329G2 52=2> C6D:2A C6D6?829 A6B:@56 ?:=2:2BEC 2D2E D682?82?=:CDB:<36BE329 D2?5252B:A@C:D:7<6?682D:72D2E C632=:<?H2!2=D6BC63ED>6?E?;E<2?329G2<6D:<2D682?82?5:36B:<2?A252 C63E29B6C:CD@B2BECA252B6C:CD@B36B86B2<3@=2<32=:<BECD6BC63ED2<2? >6?H6323<2?B6C:CD@B>6?;25:A2?2Cffl2H2H2?85:E329>6?;25:A2?2CA252 92>32D2?252=29 C:? $ ! + N )6BC2>22? D6BC63ED>6?E?;E<<2? 329G2 52H2 H2?8 5:92C:=<2? 2BEC 3@=2<32=:<C6=2=EA@C:D:752??:=2:?H236BE32952B:?@=C2>A2:56?82? $ :?82D C:? ffl2H2 B2D2B2D2?H2 252=29 $ $ N 56?82? 2 I 252=29?:=2:B2D2B2D2<E25B2D2BEC52?>6>6?E9:A6BC2>22? $ N
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl <2B52B:?:=2:B2D2B2D2<E25B2D2BEC5:C63ED%!#!)$*)&&+$ffl%*(,)ffl 2D2E%!#!fflffffl"+!ffffl6?82?56>:<:2??:=2:2BEC676<D:7>6>6?E9:A6BC2>22? 2 m ef I I N $6D:<2 92>32D2? 5:=2=E: 2BEC 3@=2<32=:< 56?82? 2BEC 676<D:7 67 D682?82?676<D:7A25292>32D2? D6BC63ED 252=29 67 67 #:<2ffl&23".""/ 9 5:>2CE<<2? <6 52=2> A6BC2>22? 67 67 5:A6B@=69 9E3E?82? 2?D2B2 D682?82? 676<D:7 56?82? D682?82?>2<C:>E> H2?8>:B:A56?82?ffl&23".""/ 9 H2<?: 2 m ef V V N ':=2:676<D:7:?:C2?82D36B8E?2<2B6?252A2D=2?8CE?85:8E?2<2?E?DE< >6?89:DE?852H2>6=2=E:A6BC2>22? ! BEC2D2ED682?82?C62B29H2?8C2>256?82?2BEC2D2ED682?82?676<D:7 2<2?>6?892C:=<2?52H2H2?8C2>2<6D:<25:=6G2D<2?A25292>32D2?H2?8 C2>2#25:?:=2:2BEC2D2ED682?82?676<D:7252=29?:=2:2BEC2D2ED682?82? 3@=2<32=:<H2?8>6?892C:=<2?52H2H2?8C2>256?82?52H2H2?85:92C:=<2? 2BEC2D2ED682?82?C62B29<6D:<25:=6G2D<2?A25292>32D2?H2?8C2>2 ff,/$, $6$ $6$ ".#"2 ;E82>6>A6B=:92D<2?>6D@56E?DE<>6?6?DE<2?2BECB2D2 B2D2 ,642B2>2D6>2D:C 2BEC B2D2B2D25:D6?DE<2? C63282: 36B:<ED C:? $ !ffi+ + ffi+ fl 4@C $ + ffi fl 4@C 4@C $ $ C69:?882 5:A6B@=69 2 mI I N ffl2B:567:?:C:2BECC6C22D dQ i dt >E2D2?52A2D5:42B:56?82?A6?8:?D68B2=2?H2<?: !ffi+ B :=; 52;<:24 +85*4+*524 B *;8: B "25*2 :*<*:*<* B "25*2 :6; ./.4<2/ B '.0*70*7 52;<:24 +85*4 +*524 fl$6$fl71&, !2/75, (4'$5 &.+=*1<:*7;/8:6*<8:-.70*7 <.0*70*79:26.: >85<-*7 <.0*70*7;.4=7-.: >85< 6.69=7@*2./2;2.7;2 ff24* *:=;9*-*4=69*:*79:26.: *:=;;.4=7-.:7@**-*5*1 * - + . , fi(1:(/(5$,$1 24.<*1=2($ >85< (& >85< -*7 $ & $ & & $ $ ($ffl $ & & & & & $9$%% %6$1$5
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 ffl6?82?56>:<:2? !ffi+ 2D2E 2 T I Q BECC62B29 H2?8>6?82=:BC6=2>2 1 2 T 2<2?>6?892C:=<2?>E2D2? !2C:=:?:>6?E?;E<<2? 329G2 2BEC B2D2B2D2 252=29 2BEC 3@=2<32=:< H2?8>6?892C:=<2?>E2D2?H2?8C2>256?82?>E2D2?H2?85:92C:=<2?2BEC C62B2952=2>G2<DEH2?8C2>2 ffl6?82? 42B2 H2?8 C2>2 52A2D 5:A6B@=69 D682?82? B2D2B2D2 C63282: 36B:<ED 2Vm V N $524 fi2C@B36B2C2=52B:<2D2' *&)C:?8<2D2?52B:' *ffl-fflfl+&)2BD:?H2F6<D@B 72C6 ,63E29 72C@B>6>:=:<: C:72D H2?8 C2>256?82?F6<D@B>6>:=:<:?:=2: 52?2B29,6D:2A86=@>32?8C:?EC@:5252A2D5:82>32B<2?@=69C63E2972C@B fl6C2B 72C@B C2>2 56?82? 2>A=:DE5@ 86=@>32?8 C652?8<2? CE5ED 2?D2B2 72C@B 52? CE>3E/ A@C:D:7 C2>2 56?82? CE5ED 72C6?H2 ,63282: 4@?D@9 A6BC2>22? D682?82?52?2BEC3@=2<32=:<5:?H2D2<2?@=69 + $ C:? 52? + $ C:? fi2C@BD682?82?52?2BEC252=29C6A6BD:5:A6B=:92D<2?A252".#"2 )6B92D:<2? 329G2 3652 72C6 2?D2B2 2BEC 52? D682?82? C2>2 56?82? CE5EDH2?85:36?DE<@=69 72C@B2BEC52? 72C@B D682?82? ! B ! 2 2 T + $0%$4 !.7.7<=4*7*:=;:*<*:*<* + + $ $ + )ffi + (=69 <2B6?2 C:72D 72C@B C2>2 56?82? C:72D F6<D@B>6?;E>=29<2?5E2 3E2972C@BC2>256?82?>6B6CE=D2?<2?5E23E29F6<D@B=:92D".#"2 #:<25E272C@BC6;6?:CC62B29B6CE=D2??H2C2>256?82?;E>=29A2?;2?8<65E2 72C@B#:<236B=2G2?2?2B29B6CE=D2?<65E272C@BC2>256?82?C6=:C:9A2?;2?8 <65E2 72C@B #:<2 <65E2 72C@B C2=:?8 D682<=EBEC B6CE=D2??H2 52A2D 5:42B: 56?82?>6?88E?2<2?52=:=)HD928@B2C $0%$4 !.700*6+*:/*;8:<.0*70*7 -*7*:=; ( ( N ( ( / ( $0%$4 !.73=65*14*7/*;8:;.3.72;@*70 * ;.*:*1 ++.:5*?*7*7*:*1-*7 ,;*5270<.0*45=:=; " # $
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl BEC3@=2<32=:<>6?82=:BA252A6?892?D2B>6>6?E9:A6BC2>222? i t 20 sin100 56?82?!52=2>2>A6B652?+52=2>C6<@?-6?DE<2? 2 2BEC>2<C:>E> 3 2BEC676<D:7 4 2BEC B2D2B2D2 52? 5 7B6<E6?C:?H2 "6"# 2 fl2?5:?8<2?A6BC2>22?! + C:? 52? ! + $ C:? >2<22BEC>2<C:>E>?H2 252=29 $ 3 BEC 676<D:7?H2 252=29 $ fflff 4 BEC B2D2B2D2?H2 252=29 $ 5 !2C:= A6B32?5:?82? A252 2 ;E82 5:A6B@=69 B25 C>2<2 7B6<E6?C: 2BEC?H2 252=29 ff !I $0%$4 #;258;489;.+*0*2*5*< 9.70=4=:*:=;52;<:24-*7 <.0*70*752;<:24 /$6#.74 BEC 52? D682?82?=:CDB:< 3@=2<32=:<>2C:?8>2C:?8 52A2D 5:E<EB >6?88E?2<2?2>A6B6>6D6B52?F@=D>6D6Bffi>A6B6>6D6B52?F@=D>6D6B ffi 92?H2>6?8E<EB ?:=2: 676<D:7?H2 ,63282: 4@?D@9 ;2BE> 2>A6B6>6D6B ffi>6?E?;E<<2? 2?8<2 "?: 36B2BD: 2BEC 676<D:7?H2 2D2E 2BEC >2<C:>E>?H2 2 ffl6>:<:2? AE=2 <6D:<2 ;2BE> F@=D>6D6Bffi >6?E?;E<<2?2?8<2 /36B2BD:D682?82?676<D:7?H2 /2D2ED682?82? >2<C:>E>?H2 2 / ,6=2:?2>A6B6>6D6Bffi52?F@=D>6D6Bffi2BEC52? D682?82?=:CDB:<3@=2< 32=:<52A2D5:E<EB>6?88E?2<2?@C:=@C<@A".#"2 >6>A6B=:92D<2?C63E29 @C:=@C<@A$6D:<25:8E?2<2?E?DE<>6?8E<EB2BEC2D2E D682?82?=:CDB:<3@=2< 32=:<=2H2B@C:=@C<@A2<2?>6>A6B=:92D<2?D2>A:=2?86=@>32?82BEC2D2ED682?82? ffl6?82?>6>A6B92D:<2?C<2=2H2?852A2D5:2DEBA252A2?6=56A2?@C:=@C<@A?52 52A2D>6?6?DE<2??:=2: 2BEC 2D2E D682?82?>2<C:>E>52?A6B:@56?H2ffi2B2 >6?6?DE<2?36C2B2?36C2B2?D6BC63EDD6=295:A6=2;2B:5:$6=2C1 6?6B2D@B ffi>6>32?8<:D<2? % 3@=2<32=:< 56?82?A6BC2>22? C:? + 56?82? 52=2>F@=D52?+52=2>C6<@?-6?DE<2? 2 D682?82? 676<D:7 52? B2D2B2D2 3 7B6<E6?C: 52? A6B:@56 D682?82? 52? 4 D682?82??H2C22D+ C6<@? fflE23E29CE>36B D682?82?3@=2<32=:<>6?892C:=<2? D682?82?>2C:?8>2C:?8>6>6?E9:A6BC2>22? &2+","/-") %* %"-". #5,5 -"4*)"//%" V1 C:? t 52? V2 C:? t 1 2 56?82?52=2>F@=D52?+52=2>C6<@? 2 2>32B<2?72C@B 52? 56?82?D:D:<D2?8<2A 5: D:D:< A252<@@B5:?2D<2BD6C:EC 3 fl6B2A2 CE5ED H2?8 5:36?DE< @=69 <65E2 72C@B 3652CE5ED 72C6 D6BC63ED 4 #:<2<65E272C@B:DE5:;E>=29<2?36B2A2A2?;2?8 B6CE=D2??H2 !2$/fi(1*7$5$$1+ffl)! !70%(4 ffiffi"ff
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 (5,5624'$/$0 $1*.$,$1 $6D:<2 C63E29 B6C:CD@B 5:9E3E?8<2? 56?82? CE>36B D682?82? 86?6B2D@B 3@=2<32=:< C6A6BD: 5:A6B=:92D<2? A252".#"2 " 2BEC =:CDB:<2<2?>6?82=:B>6=2=E:B6C:CD@B-682?82?A252B6C:CD@BC2>256?82? D682?82?CE>36BH2:DE + $ C:? N ,6CE2:56?82?!E<E>(9>2BECH2?8>6?82=:B>6=2=E:B6C:CD@B252=29 C:? C:? $ $ + + N ffl&23".""/ 9 52? 9>6?E?;E<<2? 329G2 D682?82? 52? 2BEC A252 B6C:CD@B>6>:=:<: CE5ED 72C6 H2?8 C2>2 H2<?: + B27:< D682?82? 52? 2BEC D6B9252AG2<DE 5:A6B=:92D<2? A252".#"2 # ,6>6?D2B2 :DE72C@BD682?82?52?2BECA252B6C:CD@B5:A6B=:92D<2?A252".#"2 $ fi2C@B D682?82?52? 2BECA252 B6C:CD@B36B:>A:D<2B6?2 2BEC52?D682?82? C672C6>6>:=:<:CE5ED72C6H2?8C2>2 1'7.624'$/$0 $1*.$,$1 ".#"2 ">6>A6B=:92D<2?:?5E<D@BH2?85:9E3E?8<2?<6CE>36B D682?82?ffiBECH2?8>6?82=:BA252:?5E<D@B2<2?>6?:>3E=<2? % :?5E<C: A252:?5E<D@B H2?8 36B=2G2?2? 56?82? CE>36B?H2ffl6?82? >6?6B2A<2?!E<E>$:B499@77D6?D2?8D682?82?A252=@@A5:A6B@=69329G2 D682?82?A252:?5E<D@BC2>256?82?D682?82?CE>36BH2<?: + $ C:? N ,6=2?;ED?H2<2B6?2 ffi! ffi+ >2<2 (5,56241'7.624'$1fl$3$5,624 '$/$0 $1*.$,$14752/$.%$/,. +6C:CD@B:?5E<D@B52?<2A2C:D@B52A2D5:B2?8<2:<2?56?82?86?6B2D@B ffiCE>36BD682?82?,:>3@=>2C:?8>2C:?8<@>A@?6?52=2>B2?8<2:2? =:CDB:<ffi5:A6B=:92D<2?A252".#"2 $0%$4 &26+85;26+85 -*5*6 :*704*2*7 *0.7.:*<8: +:.;2;<8: ,27-=4<8:-*7 -4*9*;2<8: $0%$4 * %*704*2*7:.;2;<8:-*7 ;=6+.:<.0*70*7 + fl:*/24<.0*70*7-*7*:=; <.:1*-*9?*4<= , 2*0:*6/*;8:<.0*70*7 -*7*:=;9*-*:.;2;<8: " # $ % 2 3 4 $ $ t $ $ + $ C:?
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl $ C:? ffi! + ffi+ 2D2E C:? $ ffi! +ffi+ BEC=:CDB:<5:A6B@=69>6=2=E:A6?8:?D68B2=2?C63282:36B:<ED C:? 4@C 4@C $$ $ ffi! +ffi+ + + ffi ffl2B: DB:8@?@>6DB:A252>2D6>2D:<2 1 cos sin( ) 2 t t C69:?8825:A6B@=69 C:? $ + 2D2E C:? $ + N 56?82? $ $ )6B32?5:?82?2?D2B2D682?82?52?2BECA252:?5E<D@B5:C63ED)ffl"+%*! !%ffi,"+!ff H2<?: $ $ N ,2DE2?52B:B62<D2?C::?5E<D:7C2>256?82?C2DE2?B6C:CD@BH2<?:@9> ffl&23".""/ 9 52? 9 >6>A6B=:92D<2? 329G2 2?D2B2 D682?82? 52? 2BEC D6B52A2DA6B36522? 72C6 B25 B27:<2BEC D6B9252AG2<DE52? D682?82? D6B9252AG2<DE 5:A6B=:92D<2? A252".#"2 # ,6>6?D2B2 :DE 5:28B2> 72C@B D682?82? 52? 2BEC 5:A6B=:92D<2? A252".#"2 $ ffl2B: 5:28B2> 72C@B D6B=:92D 329G2 A252:?5E<D@B 2BEC D6BD:?882= @=69 D682?82?56?82?3652CE5ED 72C6 B25 ffl&23".""/ 9 5:A6B@=69 56?82?>6?82?882A:?5E<D@B C63282: :?5E<D@B>EB?: H2<?::?5E<D@B H2?8 D:52<>6>:=:<: B6C:CD2?C: )252 <6?H2D22??H2:?5E<D@B52A2D>6>:=:<:B6C:CD2?C:$6D:<2B6C:CD2?C:D6BC63ED 4E<EA 36C2B D:52<52A2D5:232:<2? B6C:CD2?C::DE 92BEC5:=:32D<2?52=2> A6B9:DE?82? &*5*1 ;*<= :=6=; +.:.5*;2 -*5*6 <:208786.<:2 fl ,8; ;27 ;27 ;27 ;27 Jangan ffi73$ $C:?+ $ $ + ,63E29:?5E<D@B56?82?:?5E<D2?C: >!5:9E3E?8<2?56?82?CE>36BD682?82? ffi / !I-6?DE<2? 2 B62<D2?C::?5E<D:7 52? 32BEC676<D:7H2?8>6=2=E::?5E<D@B "6"# ffl:<6D29E: !67 /;:<2D:52<5:C63ED<2?C642B2CA6C:7:<?:=2:D682?82? 252=29 D682?82?676<D:752?ff!I 2 +62<D2?C::?5E<D:7 252=29 ff !I ! 3 BEC 676<D:7 252=29 / fflff fflff " # $ $0%$4 *%*704*2*727-=4<8:-*7 ;=6+.:<.0*70*7 +fl:*/24<.0*70*7-*7*:=; <.:1*-*9?*4<= ,2*0:*6/*;8:<.0*70*7-*7 *:=;9*-*27-=4<8:
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 fl$3$5,624'$/$0 $1*.$,$1 +2?8<2:2?<2A2C:D@B52?CE>36BD682?82?ffi5:A6B=:92D<2?A252".#"2 "-682?82?A252<2A2C:D@BC2>256?82?D682?82?CE>36BH2<?: + $ C:? N ,6=2?;ED?H2 2BEC H2?8>6?82=:B>6=2=E: <2A2C:D@B 5:D6?DE<2? C63282: 36B:<ED C:? 4@C $ $ ffi ffi ffi + + ffi+ ffi+ ffi+ ffl2B: DB:8@?@>6DB: C:? $ + >2<2 C:? $ + 2D2E C:? $ + N 56?82? $ $ )6B32?5:?82? 2?D2B2 D682?82? 52? 2BEC A252 <2A2C:D@B 5:C63ED B62<D2?C: <2A2C:D:7 H2<?: $ $ N ffl&23".""/ 9 52? 9 >6?E?;E<<2? 329G2 D682?82? 52? 2BEC 36B3652 72C6 B25 56?82? 2BEC>6?529E=E: D682?82? B27:< D682?82? 52?2BECA252<2A2C:D@BD6B9252AG2<DE5:A6B=:92D<2?A252".#"2 # C652?8<2?5:28B2> 72C@B?H25:A6B=:92D<2?A252".#"2 $ /4"4 /4 "4 "4 /4 $ $ + $ C:? $0%$4 * %*704*2*74*9*;2<8:-*7 ;=6+.:<.0*70*7 + fl:*/24<.0*70*7-*7*:=; <.:1*-*9?*4<= , 2*0:*6/*;8:<.0*70*7-*7 *:=;9*-*9*-*4*9*;2<8: ,63E29 <2A2C:D@B 56?82? fi 5:9E3E?8<2? 56?82? 86?6B2D@Bffi -682?82? H2?8 5:92C:=<2? 86?6B2D@B>6>6?E9: A6BC2>22? V t 120 2 sin120 -6?DE<2? 2 B62<D2?C: <2A2C:D:7 52B: <2A2C:D@B 52? 3 2BEC 676<D:7 H2?8>6?82=:B 52=2> B2?8<2:2? "6"# ffl:<6D29E: fi R Nfi ffl2B: A6BC2>22? + C:? 5:A6B@=69 > 2 /2D2E67 /52? B25 C 2 +62<D2?C: <2A2C:D:7?H2 252=29 B25 C fi 3 BEC 676<D:7?H2 252=29 / fflff fflff fl " # $
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl $1*.$,$1!(4, ffl2=2> AB2<D:<?H2 B6C:CD@B :?5E<D@B 52? <2A2C:D@B 52A2D 5:B2?8<2:C6B:A2B2=6=2D2E823E?82?<65E2?H2<2?D6D2A:A6>3292C2? 5: C:?: 2<2? 5:7@<EC<2? A252 B2?8<2:2? C6B: ".#"2 >6>A6B=:92D<2? B2?8<2:2? C6B: 52? 5:9E3E?8<2? 56?82? CE>36B D682?82?ffi BEC=:CDB:<A252C6D:2A<@>A@?6?252=29C2>2 (=69<2B6?2 :DE2?882A=292BEC=:CDB:<A252B2?8<2:2?>6>6?E9:A6BC2>22? II t m sin N ,642B2E>E>D682?82??H25:?H2D2<2?@=69 VV t m sin( ) N &:C2=?H2 D682?82? A252 C6D:2A <@>A@?6? 252=29 52? 36BDEBEDDEBED E?DE< D682?82? A252 B6C:CD@B:?5E<D@B 52? <2A2C:D@B C652?8<2?D682?82?CE>36B?H2fl6B365256?82?B2?8<2:2?2BECC62B29 A252B2?8<2:2?ffiC6B:D:52<36B=2<EA6?;E>=292?D682?82?C6A6BD:3:2C2 2D2E .?DE<>6?82?2=:C:C B2?8<2:2?ffi 5:8E?2<2? 32?DE2? 72C@B 7%71*$1$16$4$'$1 E?2<2?=29 5:28B2> 72C@B E?DE<>6?EBE?<2? 9E3E?82? 2?D2B2 D682?82? CE>36B 52? D682?82? A252 C6D:2A <@>A@?6? 52=2> B2?8<2:2? ffl2B:A6>3292C2?C636=E>?H25:<6D29E:329G2 2 A252B6C:CD@B2BEC52?D682?82?C672C6>2<272C@B 52?36B:>A:D 3 A252:?5E<D@B2BECD6BD:?882=@=69D682?82?2D2ED682?82?>6?529E=E: 2BEC56?82?365272C6 1 2 B25>2<272C@B 52? C2=:?8D682<=EBEC 4 A252<2A2C:D@B2BEC>6?529E=E:D682?82?2D2ED682?82?D6BD:?882=@=69 2BEC56?82?365272C6 1 2 B25>2<272C@B 52?C2=:?8D682<=EBEC BEC=:CDB:< H2?8 5:<6=E2B<2? CE>36B D682?82? >6>6?E9:A6BC2>22? C:? +56?82? 52=2> 2>A6B6 52?+ 52=2> C6<@? <6D:<2 5:9E3E?8<2? 56?82? C63E29:?5E<D@B 56?82?:?5E<C: ! -6?DE<2? 2 B62<D2?C::?5E<D:7 52B::?5E<D@B 52? 3 D682?82?676<D:7A252:?5E<D@B &2+","/-") %* %"-". #5,5 -"4*)"//%" fflE2 3E29 <2A2C:D@B fi 52? fi 5:B2?8<2: C6B: 52? 5:9E3E?8<2? 56?82? CE>36B D682?82? / B25 C -6?DE<2? 2BEC 676<D:7 H2?8>6?82=:B A252 B2?8<2:2? $0%$4 %*704*2*7 ;.:2 !2$/fi(1*7$5$$1+ffl)!
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 #:<272C@B72C@BD6BC63ED5:82>32B<2?56?82?D:D:<D2?8<2AH2?8C2>2 5:A6B@=695:28B2>72C@BC6A6BD:A252".#"2 ")25282>32BD6BC63ED 72C@B 52? 36B:>A:D<2B6?236C2B?H2C2>252?5:G2<:=:@=6972C@B H2<?:2BECH2?8>6?82=:B52=2>B2?8<2:2?)6B92D:<2?329G272C@B 52? 36B=2G2?2?>2<2;E>=29B6CE=D2?<65E2?H2252=29 N,6=2?;ED?H2 72C@B ND6BC63EDD682<=EBEC56?82?72C@BC69:?882B6CE=D2??H2 52A2D5:=E<:C<2?C6A6BD:A252".#"2 #ffl6?82?>6?88E?2<2?52=:= )HD928@B2CE?DE<C68:D:82A252".#"2 #5:A6B@=699E3E?82?C63282: 36B:<ED N (=69 <2B6?2 C6>E2 <@>A@?6? D682?82? D6=29 5:;E>=29<2? H2<?: 52?36B2BD:252=29D682?82?D@D2=2D2ED682?82?CE>36B ,6A6BD: D6=29 5:C:?88E?8 C636=E>?H2 3652 72C6 2?D2B2 D682?82?52? 2BECC2>256?82?CE5ED2?D2B272C@BD682?82?52?72C@B2BEC)252".#"2 #72C@B2BEC36B:>A:D56?82?72C@Bffl6?82?56>:<:2?CE5ED2?D2B2 52?H2<?: C2>256?82?CE5ED72C62?D2B2D682?82?52?2BECffl2B: ".#"2 #;6=2C329G2 D2? N !,)$6 $1*.$,$1 ffl&23".""/ 9 >6>A6B=:92D<2?329G2CE5ED72C6 52A2D36B?:=2: A@C:D:752??682D:736B82?DE?8A252 N#:<2 NA@C:D:72D2E D2? C69:?882CE5ED72C6?H2A@C:D:7 ,E5ED72C6A@C:D:7 >6?E?;E<<2? 329G2 D682?82?>6?529E=E: 2BEC 2D2E B2?8<2:2? 36BC:72D !%ffi,"+!ff:?82DA252:?5E<D@B D682?82?>6?529E=E:2BEC #:<2 Nffi ?682D:7 2D2E D2? C69:?882 CE5ED 72C6?H2 ?682D:7 ,E5ED72C6?682D:7>6?E?;E<<2?329G2D682?82?D6BD:?882=@=692BEC,:72D D6BC63ED5:>:=:<:@=69<2A2C:D@B(=69<2B6?2:DEB2?8<2:2?5:<2D2<2?36BC:72D "'*!+!ff ,6=2?;ED?H2 ;:<2 N 2D2E D2? 2D2E $62522?D6BC63ED>6?E?;E<<2?72C@BD682?82?36B:>A:D56?82?2BECC2>2 56?82? 72C@B D682?82?52? 2BECA252 B6C:CD@B(=69 <2B6?2:DEB2?8<2:2? 5:<2D2<2?36BC:72D)ffl*!*+!ff2D2EB2?8<2:2?36B6C@?2?C:ffl:28B2>72C@BE?DE< <6D:82<62522?D6BC63ED5:DE?;E<<2?A252".#"2 $0%$4 * 2*0:*6/*;8:<.0*70*7 9*-*:*704*2*7 ;.:2 + *;8:<.0*70*7<8<*5 6.:=9*4*7:.;=5<*7-*:2 /*;8: -*7/*;8: C 2 (VL –VC) (VL–VC) VR VR V = VR $0%$4 2*0:*6 /*;8:9*-* *:*704*2*7+.:;2/*< 27-=4<2/ +:*704*2*7+.:;2/*< 4*9*;2<2/ -*7 ,:*704*2*7+.:;2/*< :.;2;<2/ :.;87*7;2 " # $ " # / 0 V V
$:*4<2;.5*3*:2;24*=7<=4fi.5*;)fflffl (XL –XC) XL XC y R x Z R 03('$15, )252B2?8<2:2?2BECC62B29A6B32?5:?82?2?D2B2D682?82?52?2BECC2>2 56?82?92>32D2?B6C:CD2?C:C6A6BD:H2?85:36B:<2?@=69!E<E>(9>)252 B2?8<2:2?ffiA6B32?5:?82?2?D2B2D682?82?52?2BEC5:C63ED!$'fflffi%*!2D2E 92>32D2?D@D2=B2?8<2:2?,642B2>2D6>2D:C:>A652?C:5:DE=:C<2? N ffl6?82? <@?C6A:?::>A652?C: A252 B6C:CD@B:?5E<D@B 52? <2A2C:D@B >2C:?8>2C:?8 C63282: 36B:<ED 52? N ffl6?82?56>:<:2?:>A652?C: A252 B6C:CD@B D:52<=2:? 252=29 B6C:CD2?C: B6C:CD@B A252:?5E<D@B:>A652?C:?H2 C2>2 56?82? B62<D2?C::?5E<D:7 52?A252<2A2C:D@B:>A652?C:?H2C2>256?82?B62<D2?C:<2A2C:D:7 $0%$4 2*0:*6 /*;8:269.-*7;2 fl6B52C2B<2?ffl&23".""/ 9 <2B6?2 E?DE<B2?8<2:2?ffi C6B:5:28B2>72C@B:>A652?C:>:B:A56?82?5:28B2>72C@BE?DE<D682?82? C6A6BD:5:A6B=:92D<2?A252".#"2 ffl2B:".#"2 #D6B=:92D329G2 :>A652?C:B2?8<2:2?>6>6?E9:A6BC2>22? N 52?CE5ED72C6B2?8<2:2?52A2D5:42B:>6?88E?2<2?A6BC2>22? D2? N ffl&23".""/ 9 ;E82>6?E?;E<<2? 329G2 C:72D B2?8<2:2? 52A2D 5:<6D29E:56?82?>6>32?5:?8<2?36C2B 52?#:<2 B2?8<2:2? 36BC:72D!%ffi,"+!ff;:<2 B2?8<2:2?36BC:72D"'*!+!ff52?;:<2 B2?8<2:2?ffl)ffl*&%%*! (521$15,ffi,564,. ,6A6BD:D6=29?525:<6D29E:B6C@?2?C:A252B2?8<2:2?ffiD6B;25:<6D:<2 ':=2: >6?H6323<2?:>A652?C:B2?8<2:2?>6?;25:>:?:>E> H2:DE $62522? D6BC63ED>6?H6323<2? 2BEC=:CDB:< 52? 52H2 A252 B2?8<2:2?>6?;25:>2<C:>E> fiB6<E6?C: D682?82? 2D2E 2BEC <6D:<2 D6B;25: B6C@?2?C: 5:C63EDff)ffl",ffl%*! )ffl*&%%*!fl6C2B 7B6<E?C: B6C@?2?C:5:D6?DE<2? C63282: 36B:<ED(=69 <2B6?2 B ffl69.-*7;2 B ffl7-=4<8: B fi*9*;2<8: B %*704*2*7 B %*704*2*7 ;.:2 B %.;2;<8: B %.;87*7;2 52;<:24 fl$6$ fl71&, " #
ffl7-=4;25.4<:86*07.<24-*7:=; 2;<:2485*4*524 >2<2 C69:?882 5:A6B@=69 2D2E ffl6?82?56>:<:2? 7B6<E6?C:B6C@?2?C:?H2252=29 ff N +6C@?2?C:=:CDB:<32?H2<5:8E?2<2?52=2>A:B2?D:6=6<DB@?:<2+2?8<2:2? 6=6<DB@?:<E?DE<>6>32?8<:D<2?7B6<E6?C:B6C@?2?C:5:C63ED&*!#+&),63282: 4@?D@9 B25:@ 52? D6=6F:C:>6?88E?2<2? @C:=2D@B E?DE<>6>32?8<:D<2? 7B6<E6?C: 6=@>32?8 56?82? 7B6<E6?C: H2?8 5:92C:=<2? @C:=2D@BD6BC63ED 2<2? 5:A2?42B<2?>6=2=E: 2?D6?2 <6 C682=2 2B29 )252 B25:@ 2D2E D6=6F:C: A6?6B:>2 AE?>6?88E?2<2? @C:=2D@B C63282: A6?2=2 7B6<E6?C: E?DE< >6?2?8<2A86=@>32?8D6=6F:C:2D2EB25:@52B:CD2C:E?A6>2?42B ,63E29 B6C:CD@B 52? C63E29:?5E<D@B 5:B2?8<2: C6B: 52? 5:9E3E?8<2? 56?82? C63E29 CE>36B D682?82?ffi>A6B6>6D6Bffi 5:8E?2<2? E?DE<>6?8E<EB D682?82?A252D:2A<@>A@?6?$6D:<25:8E?2<2?E?DE<>6?8E<EBD682?82?A252 B6C:CD@BF@=D>6D6B>6?E?;E<<2?2?8<2 /C652?8<2?<6D:<2>6?8E<EBD682?82? A252:?5E<D@B F@=D>6D6B>6?E?;E<<2? 2?8<2 / fl6B2A2<29 2?8<2 H2?8 5:DE?;E<<2? F@=D>6D6B <6D:<25:8E?2<2?E?DE<>6?8E<EB D682?82? CE>36B "6"# ffl:<6D29E: /52?/ $2B6?2 72C@B52? C2=:?8 D682<=EBEC =:92D".#"2 D682?82?CE>36B / +6C:CD@B :?5E<D@B !52?<2A2C:D@B fi5:B2?8<2:C6B:52?5:9E3E?8<2? 56?82? CE>36B D682?82? / B25 C -6?DE<2? 2 :>A652?C: B2?8<2:2? 3 2BEC 676<D:7 52=2> B2?8<2:2? 4 CE5ED 72C6 2?D2B2 D682?82? 52? 2BEC 5 C:72D B2?8<2:2? 52? 6 D682?82? A252 C6D:2A <@>A@?6? "6"# ffl:<6D29E: ! fi R Nfi67 /52? B25 C 2 ">A652?C: B2?8<2:2? 52A2D 5:D6?DE<2? C6D6=29?52>6?6?DE<2?B62<D2?C: :?5E<D:7 52? <2A2C:D:7?H2 C63282: 36B:<ED B25 C ! B25 C fi >2<2:>A652?C: B2?8<2:2? 252=29 !2/75, (4'$5 %*704*2*7;.:2 -.70*7725*2 816 6ffi-*7 -21=+=704*79*-* ;=6+.:52;<:24%*704*2*7272*4*7 +.:.;87*7;29*-*/:.4=.7;2 * ffiA + ffiA , 10 Hz - ffiA . Hz fi(1:(/(5$,$1 24.<*1=2%*704*2*7;.:2 -.70*7 816 6ffi-*7 %*704*2*7 ;.:2*4*7 +.:.;87*7;29*-*/:.4=.7;2 f ffiA $9$%% %6$1$5 !ffl#