This document outlines the fundamentals of aerospace engineering, including mechanics, statics, dynamics and engineering mechanics. It provides details on course assessments, contact information for the instructor, and guidelines for assignments and quizzes which must be completed in groups. Finally, it covers topics like force vectors, adding coplanar forces, and determining the resultant and equilibrium of multiple forces acting on a body.

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FUNDAMENTAL of
AEROSPACE ENGINEERING
MUHAMMAD ASYRAF BIN ABDULLAH

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Mid Sem. Exam- CO1 & CO2, 30% (1 1/2hrs –2 questions 14 OCT 8-9.30pm , Selasa)
Assignment - All students Submit the assignment in Group the
following week. 20% (Tutorial Session)
Quiz – Submit in Group 10%
Exam – CO1- CO4, 10%+ 10% + 30% + 20% = 40% (3 hours – three questions)

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Contact Details
• Email: asyrafabdullah484@gmail.com
• Contact Number: 014-516 6521
• Chamber: 203-G, 2nd floor, Bloc B, Faculty of Mechanical And Automotive
Engineering Technology, Universiti Malaysia Pahang.
• Laboratory: Joining & welding Laboratory, Ground Floor, Faculty of
Mechanical And Automotive Engineering Technology.
4

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Assignment/ Quizzes
• Need to form a group by the second week. Not more than 5
students per group.
• Every student submits Assignments and Quizzes in groups.
• Late submissions will be rejected.

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1.1 Mechanics (Chapter 1)
Statics – Equilibrium of bodies
 At rest
 Move with constant velocity
Dynamics – Accelerated motion of bodies

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Engineering Mechanics: Statics
Chapter 2:
Force Vectors

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2.1 Objectives
• To show how to add forces and resolve them into components
using the Parallelogram Law.
• To express force and position in Cartesian vector form and
explain how to determine the vector’s magnitude and direction.
• To introduce the dot product in order to determine the angle
between two vectors or the projection of one vector onto
another.

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2.3 Chapter Outline
• Scalars and Vectors
• Vector Operations
• Vector Addition of Forces
• Addition of a System of Coplanar Forces
• Cartesian Vectors

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2.3 Addition of a System of Coplanar Forces
For resultant of two or more forces:
• Find the components of the forces in the specified
axes
• Add them algebraically
• Form the resultant
In this subject, we resolve each force into rectangular
forces along the x and y axes.
y
x F
F
F 


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2.3 Addition of a System of Coplanar Forces
(Cont.)
• Scalar Notation
- x and y axes are designated positive and negative
- Components of forces expressed as algebraic scalars
Eg:
Sense of direction
along positive x and
y axes y
x F
F
F 


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• Scalar Notation
Eg:
Sense of direction
along positive x and
negative y axes
y
x F
F
F '
'
' 

2.3 Addition of a System of Coplanar Forces
(Cont.)

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….REMINDER … THINK LOGIC
• Always check the unit …

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• Cartesian Vector Notation
- Cartesian unit vectors i and j are used to designate
the x and y directions
- Unit vectors i and j have dimensionless magnitude of
unity ( = 1 )
- Their sense are indicated by a positive or negative
sign (pointing in the positive or negative x or y axis)
- Magnitude is always a positive quantity, represented
by scalars Fx and Fy
2.3 Addition of a System of Coplanar Forces
(Cont.)

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• Cartesian Vector Notation
F = Fx i + Fy j kN
(positive direction)
Point F (Fx,Fy)
2.3 Addition of a System of Coplanar Forces (Cont.)

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 Cartesian Vector Notation
F’ = F’x i + F’y (-j) kN
F’ = F’x i – F’y j

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• Coplanar Force Resultants
Example: Consider three coplanar forces
Cartesian vector notation
F1 = F1x i + F1y j
F2 = - F2x i + F2y j
F3 = F3x i – F3y j
2.3 Addition of a System of Coplanar Forces (Cont.)

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• Coplanar Force Resultants
Vector resultant is therefore
FR = F1 + F2 + F3
= F1xi + F1yj - F2xi + F2yj + F3xi – F3yj
= (F1x - F2x + F3x)i + (F1y + F2y – F3y)j
= (FRx)i + (FRy)j
2.3 Addition of a System of Coplanar Forces (Cont.)

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• Coplanar Force Resultants
If scalar notation are used
FRx = (F1x - F2x + F3x)
FRy = (F1y + F2y – F3y)
In all cases,
FRx = ∑Fx
FRy = ∑Fy
2.3 Addition of a System of Coplanar Forces (Cont.)

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2.4 Comparison between Resultant and Equilibrium force
Resultant force:
∑Fy =FRx = (F1x - F2x + F3x)
∑Fy =FRy = (F1y + F2y – F3y)
If Point A is at Equilibrium.
∑Fx =0= (F1x - F2x + F3x)
∑Fy =0= (F1y + F2y – F3y)

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Assignment 1
Assignment 1.1
The end of the boom O is subjected to three
concurrent and coplanar forces. Determine
the magnitude and orientation of the
resultant force.