Engineering Mechanics IS-FME-00089

Statics. 1. Equivalent systems of forces. Force. Moment of a force. Force couple. 2. Statics of bodies. Static equilibrium conditions. Newton’s third law. 3. Distributed forces. Static moments. Centroid. Centre of mass. Kinematics. 4. Kinematics of a particle. Radius vector, trajectory, path. Displacement, velocity, acceleration. Tangential and normal acceleration. 5. Kinematics of a body. Translation and rotation. Angular displacement, velocity and acceleration. Instantaneous centre of rotation. Rolling. Plane motion. 6. Kinematics of bodies. Mechanisms. Velocity ratio. Absolute and relative motion. Coriolis acceleration. Kinetics. 7. Kinetics of a particle. Newton's second law of motion. Linear and angular momentum. Impulse. Principle of impulse and momentum. Friction. 8. Kinetics of particles. System of particles. Motion of the mass centre. Impact. 9. Energy methods. Work of a force. Power. Kinetic energy. Principle of work and energy. Conservative forces. Potential energy. Principle of conservation of total mechanical energy. 10. Rotation of a body about a fixed axis. Equation of rotational motion. Moment of inertia. Parallel-axis theorem. 11. Plane motion. Motion of the mass centre of a body. Rotation of a body about its mass centre. Conservation principles. System of bodies. 12. Generalised methods. Virtual displacement. Principle of virtual work. Dynamic equilibrium. D’Alembert’s principle.