Lesson 1

Introduction

• Introductions to Engineering Mechanics.
• Definitions of a particle, rigid body, concentrated force.
• Scalar and vector.
• Newton’s Laws of Motion.

Lesson 2 (Part 1)

Resultant and Resolution of Forces

• Introduction.
• Addition and subtraction of concurrent forces.
• Resolution of forces in two-dimensional space.
• Resultant of concurrent coplanar force system.
• Resultant of forces using graphical method.
• Resolution of a force in three-dimensional space.
• Resultant of a three-dimensional concurrent force system.

Lesson 2 (Part 2)

Resultant and Resolution of Forces

RESULTANT AND RESOLUTION OF FORCES
• Introduction.
• Addition and subtraction of concurrent forces.
• Resolution of forces in two-dimensional space.
• Resultant of concurrent coplanar force system.
• Resultant of forces using graphical method.
• Resolution of a force in three-dimensional space.
• Resultant of a three-dimensional concurrent force system.

Lesson 3

Equilibrium of a Particle

• Equilibrium of a particle in two-dimensional space.
• Equilibrium of a particle in three-dimensional space.

Lesson 4

Moment and Couple

• Moment of a force and couple.
• Principle of moment and Varignon’s Theorem.
• Moment of a system of coplanar forces and couples.
• Moment of a three-dimensional force system.

Lesson 5

Equilibrium of Rigid Bodies

• Principle of equilibrium.
• Free body diagram.
• Equilibrium of a rigid body in two-dimensional space.
• Equilibrium of a rigid body in three-dimensional space.

Lesson 6

Friction

• Introduction
• Equilibrium of forces on a horizontal plane
• Equilibrium of forces on an inclined plane

Lesson 7 (Part 1)

Centers of Gravity and Centroids

• Introduction.
• Centroid of line, area and volume
• Center of gravity for load.

Lesson 7 (Part 2)

Moment of Inertia of an Area

• Introduction.
• Parallel Axis Theorem.
• Polar moment of inertia.
• Radius of gyration of an area.

Lesson 8

Kinematic of Particles

• Rectilinear motion
• Particle motion described by equation of position, velocity and acceleration.
• Motion of a particle with constant acceleration
• Motion of a particle with varying acceleration
• Curvilinear motion :Normal and tangential velocity and acceleration.
• Circular Motion, angular velocity and acceleration.
• Projectile motion.

Lesson 9

Force and Acceleration

• Newton’s Laws of Motion, F = ma .
• Rectilinear Motion of a particle.
• Particles moving on inclined plane, under gravity and through resisting medium.
• Motion of connected bodies.
• Curvilinear Motion, normal and tangential components.
• Circular Motion. centripetal force and acceleration.

Lesson 10

Work and Energy

• Relationship Between Work and Energy.
• Work Done: constant rectilinear force, load, spring.
• Kinetic Energy. Potential energy
• Principle of work and Energy.
• Conservation of energy.

Lesson 11

Impulse and Momentum

• Principle of Impulse and Momentum.
• Conservation of Momentum.
• Principle of Restitution.
• Central Impact For Elastic Body.
• Oblique Impact between Two Spheres.

Lesson 12

Vibration

VIBRATION
• Introduction
• Umdamped Free Vibration
• Damped Free Vibration.