1.2 Resolution of Forces

1.2 Resolution of
Forces

..with Tcher Fazilah

Learning contents:

01 Definition

02 Analyse the resolution of

forces of an object which
acted by
(i) One Force (Pulling)
(ii) One force (Pushing)
(iii) More than one force

03 Problem Solving



Resolution of forces

F is the process of
resolving a force
into two components.

F x component of force
= cos ϴ
θ

F x component of force
θ = cos ϴ

y component of force
= ϴ

Quick
exercise !!

= cos ϴ
= 100 cos 30:

= 86.6

= ϴ
= 100 30:

= 50

= cos ϴ
= 100 cos 45:

= _____

= ϴ
= 100 45:

= ___

Quick exercise !!

= cos ϴ
= 100 cos 60:

= _____

= ϴ
= 100 60:

= ___

Give it a try!

F = 50 N

30 ⁰

Give it a try!

F = 50 N

30 ⁰

Pushing forceProblem-solving;

60 ⁰
F

Force Y component X component
F

60 ⁰
F

Force Y component X component
F
= ϴ
= 90 30 ⁰

= − 45

60 ⁰
F

Magnitude of x component: 77.94 N
DIRECTION? To the right

Force Y component X component

F = ϴ = cos ϴ
= 90 30 ⁰
= 90 30 ⁰
= 77.94 N
= − 45

60 ⁰

Magnitude of y component: 45 N
F DIRECTION? Downward

Pushing forceProblem-solving;



Pushing forceProblem-solving;



Problem-solving more than one force

Solution: Force Y component X component
(a)

Solution: Force Y component X component
(a) W - 24 N -

Sign of y and x y
component x

-x -y

Solution: Force Y component X component
(a) W - 24 N -
R ? ?

Solution: Force Y component X component
(a) W - 24 N -
R 6N -
T ? ?

Solution: Force Y component X component
(a) W -
R - 24 N -
T
6N

= ϴ
= 36 30:

= 18 N

Solution: Force Y component X component
(a) W
R - 24 N -
T
6N -
=
= : =
= :
= 18 N
= 31.18 N
?

Solution: Force Y component X component
(b) W
R - 24 N -
T
6N -

= ϴ = cos ϴ
= 36 30: = 36 cos 30:

= 18 N = 31.18 N

- - 20 N

Solution: Force Y component X component
(b) W
R - 24 N -
T
+6N -
= ϴ = cos ϴ
ΣF = 36 30: = 36 cos 30:
= 31.18 N
= 18 N
- 20 N
-
11.18 N
0N

Magnitude: 11.18 N direction: to the right

Newton’s second law: Given information:
F = ma Mass, m = 2.4 kg
Force, F = 11.18 N


Acceleration, a =

11.18
= 2.4

Newton’s second law: Given information:
F = ma Mass, m = 2.4 kg
Force, F = 11.18 N

Substitute the unit ; N to Given information:
kg m −2 Mass, m = 2.4 kg
Force, F = 11.18 N


Acceleration, a =

11.18
= 2.4

Given information:
Mass, m = 2.4 kg
Force, F = 11.18 N


Acceleration, a =

11.18 −2
= 2.4

= 4.66 −2

THANK YOU

Keep learning!!