E-Portfolio Mohd Fardzlee bin Abd Patah GB190077 MBV

DPP C2 (b)-2
Page 5 of 5

DPP C2 (b)-2

Kolej Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

INFORMATION SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
CODE/COURSE : OCTOBER – DECEMBER 2021 SEMESTER : 3
LECTURER : SHEET NO : 11
DKV 21273 STATICS & WEEK : 13
DYNAMICS
MOHD FARDZLEE BIN ABD
PATAH

TOPIC : CENTER OF GRAVITY AND CENTROID

SUB-TOPIC : 5.2 Center of Gravity and Center of Mass For a System
of Body

5.3 Composite Body

LEARNING After completing the unit, students should be able to :
OUTCOME : 1. Understand the concept of the center of gravity, center of

mass, and the centroid.
2. Know how to determine the location of the center of gravity

and centroid for a system of discrete particles and a body
of arbitrary shape.
3. Use the theorems of Pappus and Guldinus for finding the
area and volume for a surface of revolution.
4. Present a method for finding the resultant of a general
distributed loading and show how it applies to finding the
resultant of a fluid.

Content

CENTER OF GRAVITY, CENTER OF MASS, AND CENTROID FOR A BODY

Center of Gravity
. The determination of the center of gravity of a rigid body is accomplished by following the
same principle discussed in the previous section. Since a rigid body is assumed to be

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DPP C2 (b)-2
continuous, it is possible to express everyone of the coordinate of the center of gravity as

To apply the above expressions is necessary to have a relation between the weight of the
rigid body in consideration and its volume. If the density of the element studied is constant,
become

In the above set of expressions g represents the acceleration of gravity (9.81 m/s2,
32.2ft/s2).
Center of Mass. The center of mass of a rigid body can be determined using the same
principles employed to determine the center of gravity. Therefore, the center of mass of a
body can be expressed as

Centroid. The centroid C is a point which defines the geometric center of an object. Its
location can be determined using the same principles employed to determine the center of
gravity of a body. In the case where the material composing a body is uniform or
homogeneous, the density or specific weight will be constant throughout the body and
these values will be factored out from the integrals simplifying the expressions for center of
mass and center of gravity. In this specific case, the centers of mass, gravity and geometry
coincide.
Volume. When a body is subdivided into volume elements dV, as shown in figure, the
location of the centroid for the volume of the object can be determined by

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DPP C2 (b)-2

computing the “moments” of the elements about each
of the coordinate axes.

Calculation of the center of geometry in a volume
Area. In a similar manner, the centroid for the surface area of an object can be determined
by subdividing the area into differential elements of area dA and then calculating the
moments” of those infinitesimal areas about each axis of the coordinate system.

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DPP C2 (b)-2

Calculation of the geometric center of an area
Application of the same principles used before to determine the center of gravity on a body
yield the following expressions for geometric center of an area

Line. Finally, if the geometry of the studied body is such as a thin rod or wire, it can be
approached to a line. The balance of moments of the differential elements dL about each
coordinate axis results in

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DPP C2 (b)-2

Calculation of the geometric center of a line segment.

COMPOSITE BODIES
A composite body consists of a series of connected “simpler” shaped bodies, which may
be rectangular, triangular, semicircular, etc. Such a body can often be sectioned or divided
into its composite parts and if the weight and location of the center of gravity of each of
these parts are known, it is possible to determine the center of gravity of the whole body
from this information instead of carrying out the integration of the relevant equations. The
procedure to find the center of gravity of a composite body requires treating each
of the different “components” of the body as a particle, and then the application of the
equations developed previously for finding the center of gravity of a set of individual
particles.

When the body has constant density or specific weight, the center of gravity coincides with
the centroid of the body. The centroid for composite lines, areas, and volumes can be
found using relations analogous to the equation presented previously.

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DPP C2 (b)-2

EXERCISE:
1. Center of mass of a bent bar: A uniform bar of mass 4 kg is bent in 1m .5 m. 5 m
Figure: the shape of an asymmetric ’Z’ as shown in the figure. Locate the center of
mass of the bar.

2. Find the CM of a semicircular rod of radius R and linear density λ kg/m as shown in
Figure.

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DPP C2 (b)-2
REFERENCE :

1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981

2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor

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DPP C2 (e)

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka

ASSIGNMENT SHEET

PROGRAMME DAF

SESSION MAY – OCTOBER 2021 SEMESTER 2
SHEET NO 1
CODE & COURSE DVA 20212 ELECTRICAL DURATION 2 WEEKS
LECTURER AND ELECTRONIC
FUNDAMENTAL
MOHD FARDZLEE BIN
ABD PATAH

TOPIC 3.0 Electrical wiring in automotive System
4.0 Introduction to Electronic Components
SUB-TOPIC
TOPIC After this lesson, the students should be able to:
LEARNING 1. Construct an automotive electrical circuit and an
OUTCOME electronic circuit.

TOOLS/ 1. Automotive electrical components.
EQUIPMENTS/ 2. Wiring diagram.
MATERIALS 3. Electronic control module.
DRAWING AND
DATA Refer wiring diagram.

INSTRUCTION 1. In group of four, construct a project of automotive body
electrical circuit combination with electronic circuit.
(electrical circuit with control module)

2. Present your project according to:
- Circuit/wiring diagram.
- Functionality/Operation of circuit.
- Material/Components used.
- Work steps of project implementation.

3. Write a report regarding to your project.

4. The presentation will be held on week of 15th.

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DPP C2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka

ASSIGNMENT SHEET

PROGRAMME : DAF SEMESTER 3
SESSION : OCTOBER – DECEMBER 2021
CODE & COURSE : DKV 21273 STATICS & DYNAMICS SHEET NO 1
LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION
1
WEEK

TOPIC : STATIC AND DYNAMICS
SUB-TOPIC : UNIT 1: FORCE VECTOR

TOPIC LEARNING After completing the unit, students should be able to:
OUTCOME : 1. Apply Parallelogram Law to add forces and resolve into

components.
2. Express force and position in Cartesian vector form also

explain how to determine the vector's magnitude and
direction.
3. Understand the dot product in order to determine the
angle between two vectors or the projection of one
vector onto another.

TOOL/ Answer all questions below.
EQUIPMENTS/
MATERIAL:

DRAWING AND
DATA

INSTRUCTION

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DPP C2
1 Determine the magnitude of the resultant force and its direction measured

counterclockwise from the positive x axis

2 The end of the boom O is subjected to three concurrent and coplanar forces.
Determine the magnitude and direction of the resultant force.

3 Express the force F in Cartesian vector form if it acts at the midpoint B of the
rod.

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DPP C2 (e) -1

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka

ASSIGNMENT SHEET

PROGRAMME : DAF SEMESTER : 3
SESSION : OCTOBER – DECEMBER 2021
CODE & COURSE : 2
LECTURER : DKV 21273 STATICS & DYNAMICS SHEET NO : 1
DURATION : WEEK
MOHD FARDZLEE BIN ABD
PATAH

TOPIC : STATIC AND DYNAMICS

SUB-TOPIC : UNIT 06: MOMENT OF INERTIA

TOPIC LEARNING After completing the unit, students should be able to:
OUTCOME :
1. Understand for determining the moment of inertia for an area.
2. Find and solve the maximum and minimum moments of
inertia of an area.
3. Solve the problem of the mass moment of inertia.

TOOL/ Answer all questions below.
EQUIPMENTS/
MATERIAL:

DRAWING AND
DATA

INSTRUCTION

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DPP C2 (e) -1
1 Determine y, which locates the centroidal axis x' for the cross-sectional area of

the T-beam, and then find the moments of inertia Ix’ and Iy’

2 If the plate shown in Figure has a density of 8000 kg/m3 and a thickness of
10 mm, compute its moment of inertia about an axis directed perpendicular to
the page and passing through point O.

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DPP C2 (d)-2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2021 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES1.0

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 1.0 FORCE VECTORS
SUB-TOPIC :
1.1Scalars and Vectors Quantities
1.2Vector Operation
1.3Vector Addition of Force

LEARNING After completing the course, students should be able to:
OUTCOME : 1. Distinguish scalar and vector.
2. Express the basic operation of vector.
3. Solve the problem about vector

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DPP C2 (d)-2
EXERCISE:

1. Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured
counterclockwise from the positive x axis.

Exercise 1.1.1
2. Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured

counterclockwise from the positive x axis.

Exercise 1.1.2
3. Determine the angle θ for connecting member A to the plate so that the resultant force

of FA and FB is directed horizontally to the right. Also, what is the magnitude of the
resultant force.

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DPP C2 (d)-2

Exercise 1.1.3/1.1.4
REFERENCE:

1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981

2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor

Page 3 of 3

DPP C2 (d)-2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2021 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES1.1

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 1.0 FORCE VECTORS
SUB-TOPIC :
1.1Scalars and Vectors Quantities
LEARNING 1.2Vector Operation
OUTCOME : 1.3Vector Addition of Force

After completing the course, students should be able to:
1. Distinguish scalar and vector.
2. Express the basic operation of vector.
3. Solve the problem about vector

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DPP C2 (d)-2
EXERCISE:

1. Determine the magnitude of the resultant force and its direction, measured clockwise
from the positive x axis.

Exercise 1.2.1
2.Determine the magnitude of force F so that the resultant FR of the three forces is as small
as possible

3. Determine the magnitude of the resultant force and its direction, measured
counterclockwise from the positive x axis.

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DPP C2 (d)-2
Exercise 1.2.3
4. Determine the magnitude and direction θ of F1 so that the resultant force is directed
vertically upward and has a magnitude of 800 N.
5. Determine the magnitude and direction measured counterclockwise from the positive x
axis of the resultant force of the three forces acting on the ring A. Take F1 = 500 N and θ
= 20°.

6. Express F1 and F2 as Cartesian vectors.
7. Determine the magnitude of the resultant force and its direction measured

counterclockwise from the positive x axis.

Exercise 1.2.6/1.2.7
REFERENCE:

1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981

2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor

Page 3 of 3

DPP C2 (d)-2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2021 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES1.1

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 1.0 FORCE VECTORS
SUB-TOPIC :
1.1Scalars and Vectors Quantities
1.2Vector Operation
1.3Vector Addition of Force

LEARNING After completing the course, students should be able to:
OUTCOME : 1. Distinguish scalar and vector.
2. Express the basic operation of vector.
3. Solve the problem about vector

Page 1 of 3

DPP C2 (d)-2
EXERCISE:

1. Determine the magnitude of the resultant force and its direction, measured clockwise
from the positive x axis.

Exercise 1.2.1
2.Determine the magnitude of force F so that the resultant FR of the three forces is as small
as possible

3. Determine the magnitude of the resultant force and its direction, measured
counterclockwise from the positive x axis.

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DPP C2 (d)-2
Exercise 1.2.3
4. Determine the magnitude and direction θ of F1 so that the resultant force is directed
vertically upward and has a magnitude of 800 N.
5. Determine the magnitude and direction measured counterclockwise from the positive x
axis of the resultant force of the three forces acting on the ring A. Take F1 = 500 N and θ
= 20°.

6. Express F1 and F2 as Cartesian vectors.
7. Determine the magnitude of the resultant force and its direction measured

counterclockwise from the positive x axis.

Exercise 1.2.6/1.2.7
REFERENCE:

1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981

2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor

Page 3 of 3

DPP C2(d)-2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2020 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES2.0

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 2.0 EQUILIBRIUM OF PARTICLE
SUB-TOPIC :
2.1 Condition for the Equilibrium of a Particle
LEARNING 2.2 The Free Body Diagram
OUTCOME : 2.3 Equilibrium Force
2.4 Coplanar Force
2.5 Three Dimensional Force Systems

After completing the course, students should be able to:
1. Identify condition for the equilibrium. C1
2. Draw the free body diagram such as spring, pully or cables C3
3. Solve the problems of equilibrium using scalar and Cartesian vector. C3

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DPP C2(d)-2

EXERCISE:
1.

2.

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DPP C2(d)-2
3.

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DPP C2(d)-2
4.

REFERENCE:
1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981
2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor
Page 4 of 4

DPP C2(d)-2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2020 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES2.1

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 2.0 EQUILIBRIUM OF PARTICLE
SUB-TOPIC :
2.1 Condition for the Equilibrium of a Particle
LEARNING 2.2 The Free Body Diagram
OUTCOME : 2.3 Equilibrium Force
2.4 Coplanar Force
2.5 Three Dimensional Force Systems

After completing the course, students should be able to:
1. Determine moment in force system resultant for 3D.
2. Determine forces and moments in equilibrium state.
3. Determine the centroids and moment of inertia of rigid body.
4. Analyze the motion of a body in curvilinear and angular.

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DPP C2(d)-2
EXERCISE:

Determine the magnitude and direction of required to keep the concurrent force system in
equilibrium.

Determine the magnitude of F1, F2 and F3 for equilibrium of the particle.

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DPP C2(d)-2
The three cables are used to support the 800-N lamp. Determine the force developed in each
cable for equilibrium.

0
REFERENCE:

1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981

2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor
Page 3 of 3

Lampiran B5.1

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2021 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES4

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 3.0 FORCE SYSTEM RESULTANTS
SUB-TOPIC :
3.1 Moment of a Force-Scalar Formulation
LEARNING 3.2 Cross Product
OUTCOME : 3.3 Moment of Force-Vector Formulation
3.4 Principle of Moment
3.5 Moment of a Force About a Specified Axis
3.6 Moment of a Couple

After completing the course, students should be able to:
1. Determine moment in force system resultant for 3D.
2. Determine forces and moments in equilibrium state.
3. Determine the centroids and moment of inertia of rigid body.
4. Analyze the motion of a body in curvilinear and angular.

Page 1 of 3

Lampiran B5.1

EXERCISE:
1.

Determine the moment produced by force 0f 100 N at point A, B, C, D and E by referring to
the figure above.

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Lampiran B5.1
2.

2m 30 kN 100 kNm
A 20o

10 kNm 3m 1m
40 kN

A beam in figure above is acted by force and moment. Determine the reaction forces about
it support at A. Neglect the weight of the beam.

REFERENCE:
1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981
2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor

Page 3 of 3

DPP C2(d) -2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2020 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES3.0

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 3.0 FORCE SYSTEM RESULTANTS
SUB-TOPIC :
3.1 Moment of a Force-Scalar Formulation
LEARNING 3.2 Cross Product
OUTCOME :
After completing the course, students should be able to:
1. Express moment of a force using scalar formulation 2D and vector
formulation 3D. C2
2. Apply cross product to solve force resultant. C3
3. Apply the principle of moment. C2
4. Solve the problems moment of a force. C3
5. Solve the problem moment of a couple. C3

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DPP C2(d) -2
EXERCISE:
1. For each case illustrated in Fig. 3-4, determine the moment of the force about point O.

2.Determine the moments of the 800-N force acting on the frame in Figure 3.5 about points A, B,
C, and D.

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DPP C2(d) -2
3. Determine the resultant moment of the four forces acting on the rod shown in Fig. 3-6 about
point O.

Determine the moment about point B of each of the three forces acting on the beam.

Page 3 of 4

DPP C2(d) -2
REFERENCE:

1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981

2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor
FORMULA

(MOMENT)The magnitude of the moment is Mo = F d

CROSS PRODUCT

Page 4 of 4

DPP C2(d) -2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2020 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES3.1

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 3.0 FORCE SYSTEM RESULTANTS
SUB-TOPIC :
3.1 Moment of Force-Vector Formulation
LEARNING 3.2 Principle of Moment
OUTCOME :
After completing the course, students should be able to:
1. Express moment of a force using scalar formulation 2D and vector
formulation 3D. C2
2. Apply cross product to solve force resultant. C3
3. Apply the principle of moment. C2
4. Solve the problems moment of a force. C3
5. Solve the problem moment of a couple. C3

Page 1 of 4

DPP C2(d) -2
EXERCISE:
The pole in Fig. 4-16a is subjected to a 60-N force that is directed from C to B. Determine the
magnitude of the moment created by this force about the support at A.

Three forces act on the rod shown in Fig. 3-17 a. Determine the resultant moment they create
about the flange at O and determine the coordinate direction angles of the moment axis.

Page 2 of 4

DPP C2(d) -2

REFERENCE:
1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981
2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor
FORMULA

(MOMENT)The magnitude of the moment is Mo = F d

CROSS PRODUCT

Page 3 of 4

DPP C2(d) -2
Page 4 of 4

DPP C2(d) -2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2020 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES3.2

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 3.0 FORCE SYSTEM RESULTANTS
SUB-TOPIC :
3.5 Moment of a Force about a specified axis.
LEARNING 3.6 Moment of a Couple.
OUTCOME :
After completing the course, students should be able to:
1. Express moment of a force using scalar formulation 2D and vector
formulation 3D. C2
2. Apply cross product to solve force resultant. C3
3. Apply the principle of moment. C2
4. Solve the problems moment of a force. C3
5. Solve the problem moment of a couple. C3

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DPP C2(d) -2
EXERCISE:

MOMENT OF A FORCE ABOUT A SPECIFIED AXIS

The force F = {-4Oi + 20j + 10k} N acts at point A shown in Fig. 3-23a. Determine the moments of
this force about the x and a axes.

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DPP C2(d) -2
The rod shown in Fig. 3-24a is supported by two brackets at A and B. Determine the moment MAB
produced by F = {-600i + 200j - 300k} N, which tends to rotate the rod about the AB axis.

Determine the moment of the force F about the Oa axis. Express the result as a Cartesian vector.

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DPP C2(d) -2

Moment Of A Couple

A couple acts on the gear teeth as shown in Fig. 3-29a. Replace it by an equivalent couple having
a pair of forces that act through points A and B.

Determine the moment of the couple acting on the member shown in Fig. 3-30a.

REFERENCE:
1. Hibbeler, R.C & S.C Fan 1997. Engineering Mechanics, Statics. SI Ed. New Jersey:
Prentice Hall. ISBN 0135995981
2. Yusof Ahmad. 1999. Mekanik Statik. Cetakan Ketiga. Malaysia: Penerbit UTM Skudai Johor
Page 4 of 6

DPP C2(d) -2

FORMULA
(MOMENT)The magnitude of the moment is Mo = F d

CROSS PRODUCT

Moment Of A Force About A Specified Axis

=( )M a   
ua r F

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DPP C2(d) -2
Page 6 of 6

DPP C2 (d)-2

Kolej Kemahiran Tinggi MARA
Masjid Tanah, Melaka.

EXERCISE SHEET

PROGRAMME : DIPLOMA IN AUTOMOTIVE ENGINEERING TECHNOLOGY
SESSION :
OCTOBER – DECEMBER 2020 SEMESTER : 3

CODE & COURSE: DKV 21273 STATICS & DYNAMICS SHEET NO : ES4.1

LECTURER : MOHD FARDZLEE BIN ABD PATAH DURATION 30 MINS

TOPIC : 4.0 EQUILIBRIUM OF A RIGID BODY
SUB-TOPIC :
4.1 Moment of a Force-Scalar Formulation
LEARNING 4.2 Cross Product
OUTCOME : 4.3 Moment of Force-Vector Formulation
4.4 Principle of Moment
4.5 Moment of a Force About a Specified Axis
4.6 Moment of a Couple

After completing the course, students should be able to:
1. Generate the equations of equilibrium for a rigid body.
2. Explain the concept of the free body diagram for a rigid body.
3. Calculate and solve rigid body equilibrium problem using the

equations of equilibrium.

Page 1 of 4