This document summarizes the Week 1 content of a class on Fundamentals of Engineering Mechanics. The week covers introductions to key concepts like vectors, scalars, particles and systems of units. It also defines principles like the laws of parallelogram and triangle of forces. The class lectures proceed from fundamental definitions to statics topics like forces on rigid bodies.

1. Week 1 Fundamentals of Engineering Mechanics:
Objectivities of this class
1. Fundamentals of Engineering Mechanics
- Definitions of Key Concepts
2. Statics
- Fundamental Statics of a Rigid Body
3. Summary
- Summary, Quiz, Real-life examples
This class is lecturing in order of above objectivities.

2. 1. Introduction
- What is Engineering Mechanics? –
Engineering Mechanics
Kinematics Kinetics
DynamicsStatics
Week 1 Fundamentals of Engineering Mechanics:

3. 1. Introduction
- What is Engineering Mechanics? –
Engineering Mechanics
Kinematics Kinetics
DynamicsStatics
Week 1 Fundamentals of Engineering Mechanics:
Branch of science which deals with the
behavior of a body when the body is at
rest or in motion.
Divided in two branch with Statics and
Dynamics.

4. 1. Introduction
- What is Engineering Mechanics? –
Engineering Mechanics
Kinematics Kinetics
DynamicsStatics
Week 1 Fundamentals of Engineering Mechanics:
Body is at rest. Body is in
motion.

5. 1. Introduction
- What is Engineering Mechanics? –
Engineering Mechanics
Kinematics Kinetics
DynamicsStatics
Week 1 Fundamentals of Engineering Mechanics:
When the forces are
also considered for
the body in motion
When the forces which
cause the motion are
not considered.

6. 2. Definitions(Key concepts)
◆ Vector Quantity:
A quantity which is completely specified by magnitude and
direction ex: velocity ,acceleration
◆ Scalar Quantity:
A quantity, which is completely specified by magnitude only ex:
mass ,length, temperature….
◆ A Particle :
A particle is a body of infinitely small volume and the mass of
the particle is considered to be concentrated at a point
Week 1 Fundamentals of Engineering Mechanics:

7. 2. Definitions(Key concepts)
◆ Law of Parallelogram of Forces :
Used to determine the resultant of two forces acting at a point
in a plane
- If two forces, acting at a point be represented in magnitude
and direction by the two adjacent sides of a parallelogram,
then their resultant is represented in magnitude and
direction by the diagonal of the parallelogram passing
through that point.
Week 1 Fundamentals of Engineering Mechanics:

8. 2. Definitions(Key concepts)
◆ Law of Parallelogram of Forces :
* From C draw CD perpendicular to OA produced.
Let Now
a = Angle between two forces P and Q
= LAOB
Angle LDAC=LAOB = a
Week 1 Fundamentals of Engineering Mechanics:

9. 2. Definitions(Key concepts)
◆ Law of Triangle of Forces:
If three forces acting at a point be represented in magnitude
and direction by the three sides of a triangle, taken in order,
they will be in equilibrium.
◆ Lami's Theorem :
If three forces acting at a point are in equilibrium, each force will
be proportional to the sine of the angle between the other two
forces.
Week 1 Fundamentals of Engineering Mechanics:

10. 2. Definitions(Key concepts)
Week 1 Fundamentals of Engineering Mechanics:

11. 2. Definitions(Key concepts)
◆ System of Units:
* C.G.S. System of units.
Length is expressed in centimetre, mass in gram and
time in second.
The unit of force in this system is dyne
* M.K.S. System of Units.
Length is expressed in metre, mass in kilogram and
time in second.
* S.I. System of Units:
Length is expressed in metre, mass in kilogram and
time in second.
The unit of force in this system is Newton
and is represented N.
Week 1 Fundamentals of Engineering Mechanics:

12. 2. Definitions(Key concepts)
◆ System of Units:
<Relation between Newton and Dyne>
Week 1 Fundamentals of Engineering Mechanics: