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.