Syllabus
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Course Code: EP-101 Course Name: Mechanics-I |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | ROTATIONAL MOTION Rotation of rigid body, Moment of inertia, Torque, Angular momentum, Kinetic Energy of rotation. Theorem of perpendicular and Parallel axis (with proof), Moment of inertia of Ring, Disc, Rectangular lamina, Solid bar of rectangular cross section, Solid sphere, Hollow sphere, Spherical shell, Solid Cylinder and Hollow cylinder. Fly wheel, Moment of inertia of an irregular body, Acceleration of a body rolling down on an inclined plane. |
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| 2 | ELASTICITY Elasticity, Stress and Strain, Hooks law, Elastic constant and their relations, Poisson’s ratio, Torsion of cylinder and twisting couple, determination of coefficient of modulus of rigidity for the material of wire by Maxwell’s Needle, bending of beam (Bending moment and its magnitude), Cantilever and Centrally loaded beam, Determination of Young’s modulus for the material of the beam and Elastic constants for the material of the wire by Searle’s method. |
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| 3 | OSCILLATIONS Review of SHM, Simple Harmonic Oscillations, Differential Equation of SHM and its solution. Kinetic Energy, Potential Energy and their space average, time average, total energy. Damped oscillations, forced oscillations, transient and steady state, sharpness of resonance, power dissipation and quality factor. |
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| 4 | SURFACE TENSION Surface Tension: Synclastic and anticlastic surface, excess pressure application to spherical drop and bubbles. Variation of Surface tension with temperature. VISCOSITY Kinematics of moving fluids: idea of compressible and incompressible fluids, equation of continuity, steamline and turbulent flow, Reynolds’s number, Euler’s equation, The special case of fluid statics F = ∆p, Simple applications e.g. Pascal’s law and Archimedes principle. Poiseuille’s equation for flow of a viscous liquid through a capillary tube. |
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