Syllabus

Course Code: EP-102    Course Name: Mechanics-II

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 BASIC CONCEPTS OF CLASSICAL MECHANICS
Mechanics of single and system of particles, Conversion law of linear momentum, Angular momentum and mechanical energy for a particle and a system of particles, Centre of Mass and equation of motion.
2 GENERALIZED NOTATIONS
Degrees of freedom and Generalized coordinates, Transformation equations, Generalized Displacement, Velocity, Acceleration, Momentum, Force and Potential, Hamilton’s variational principle, Lagrange’s equation of motion from Hamilton’s principle, Linear Harmonic oscillator, Simple pendulum, Atwood’s machine.
3 THEORY OF RELATIVITY-I
Frame of reference, limitation of Newton’s law of motion, Inertial frame of reference, Galilean transformation, Frame of reference with linear acceleration, Classical relativity, Galilean invariance, Transformation equation for a frame of reference- inclined to an inertial frame and Rotating frame of reference, Non-inertial frames; The accelerated frame of reference and rotating frame of reference, Fundamental frame of reference, Michelson Morley’s experiment.
4 THEORY OF RELATIVITY-II
Special theory of relativity, Lorentz co-ordinate and physical significance of Lorentz invariance, Length Contraction, Time Dilation, Twin Paradox, Velocity addition theorem, Variation of mass with velocity, Mass energy equivalence, Transformation of relativistic momentum and energy, relation between relativistic momentum and energy, Mass, velocity, momentum and energy of zero rest mass.
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