Mechanics

ABOUT THE COURSE: This course covers the basic principles of mechanics. The course discusses the free body diagram, equilibrium of rigid bodies, analysis of trusses, beams, cables, virtual work, the motion of particles and rigid bodies, conservation laws, the moment of inertia, the principle of work energy, and general plane motions. INTENDED AUDIENCE: Undergraduate studentsPREREQUISITES: Any 12th pass students (in science stream) can do this course. There are no prerequisite courses.INDUSTRY SUPPORT: Companies which delas with mechanical instrumentations such as Larsen & Toubro, BHEL etc.

Week 1:Concepts of particles and rigid bodies, vectorial representation of forces and moments, couple moment, reduction of a force system to a force and a couple.

Week 2:Free body diagram, support reactions, equilibrium of rigid bodies in two and three dimensions.

Week 3:Distributed forces, beams, flexible cables.

Week 4:Truss, analysis of truss using method of joints and method of sections.

Week 5:Basics of constrained motion, degrees of freedom, generalized coordinates, principle of virtual work for a particle and rigid body, condition for equilibrium for a conservative system.

Week 6:Friction, static and kinetic friction, coefficient of friction, sliding friction, ladder friction, belt friction, rolling resistance.

Week 7:Kinematics of particles, cartesian coordinates, planar polar coordinates, spherical coordinates, and cylindrical coordinates.

Week 8:Equation of motion in different coordinate systems.
Week 9:Work energy method, conservation of energy, impulse and momentum relation, conservation of momentum, impact, direct impact and coefficient of restitution, oblique central impact, variable mass problem.

Week 10:Moment of Inertia, parallel axis theorem, perpendicular axis theorem, radius of gyration, product of inertia of composite bodies, moment of inertia about any arbitrary axis, principal axis of inertia.

Week 11:Translation and rotation of rigid bodies, relative velocity and relative acceleration.

Week 12:Equation of motion, general plane motion and work energy relation, angular momentum, impulse-momentum equation, Euler’s equation of motion and three-dimensional motion about a fixed point.