RELATIVISTIC MECHANICS (Optional Paper)
- Acquaint them with mechanical systems under generalized coordinate systems.
- Understand Virtual work, energy and momentum.
- Make them aware about the mechanics developed by Newton, Lagrange's, Hamilton.
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Learning Outcomes |
Learning and teaching strategies |
Assessment |
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After the completion of the course the students will be able to: CLO92- Understand D’ Alembert’s Principle and its simple applications. Able to construct the General equation of motion of a rigid body under fixed force, no force, impulsive force. CLO93- Describe the concept of Motion of a rigid body in two dimensions, Rolling and sliding friction, rolling and sliding of uniform rod and uniform sphere. CLO94- Able to Describe Motion in three dimensions with reference to Euler's dynamical and geometrical equations, Motion under no forces, Motion under impulsive forces. CLO95- Analyze the Derivation of Lagrange’s Equations to holonomic Systems. Understand the motion of top. CLO96- Distinguish the concept of the Hamilton Equations of Motion and the Principle of Least Action. |
Approach in teaching: Interactive Lectures, Discussion, Tutorials, Reading assignments, Demonstration, Team teaching
Learning activities for the students: Self learning assignments, Effective questions, Simulation, Seminar presentation, Giving tasks, Field practical
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Presentations by Individual Students. Class Tests at Periodic Intervals. Written assignment(s) Semester End Examination |
Relative character of space and time, Principle of relativity and its postulates, Derivation of special Lorentz transformation equations, Composition of parallel velocities, Lorentz-Fitzgerald contraction formula.
Time dilation,Simultaneity, Relativistic transformation formulae for velocity, Lorentz contraction factor, Particle acceleration, Velocity of light as fundamental velocity
Relativistic aberration and its deduction to Newtonian theory. Variation of mass with velocity, Equivalence of mass and energy, Transformation formulae for mass, Momentum and energy, Problems on conservation of mass, Momentum and energy.
Problems on conservation of mass, Momentum and energy, Relativistic Lagrangian and Hamiltonian, Minkowski space, Space-like, Time-like and light-like intervals.
Null cone, Relativity and causality, Proper time, World line of a particle, Principles of equivalence and general covariance.
- Bernard F. Schutz, A First Course in General Relativity, CambridgeUniversity Press, 2010.
- Sushil Kumar Srivastava, General Relativity and Cosmology, Prentice hall India, 2008.
- Raj Bali, General Relativity, Jaipur Publishing House, 2005.
- David Agmon, Paul Gluck, Classical and Relativistic Mechanics,2009.
- Jayant V. Narlikar, AnIntroduction to Relativity, CambridgeUniversity Press, 2010.
- Robert J. A. Lambourne, Relativity, Gravitation, and Cosmology, Cambridge University Press,2010.
- J.L. Synge,Relativity theGeneral Theory, North Holland Publishing Company,Amsterdam,1971.
- A.S.Eddention,The Mathematical Theory of Relativity, CambridgeUniversity Press, 2010.
- S.Aranoff,Equilibrium in Special Relativity:The Special Theory,North HollandPublication. Amsterdam,1965.
