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1st Year IIT JAM 2019 : Physics

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Gowri Harikumar
Kerala University (KU), Thiruvananthapuram
Bsc Physics

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Revised Syllabus PHYUT501 CLASSICAL MECHANICS 1 Constrained Motion Constraints, Classification of Constraints, Principal of Virtual Work, D Alembert s principal and its applications (Problems only), (One or Two Problems should be discussed with D Alembert s, Lagrangian, Hamiltons from same set of problems). (2L+2P) . 2 Lagrangian formulation Generalized coordinates, Langrange s equations of motion, properties of kinetic energy function, theorem on total energy, generalized momenta, cyclic-coordinates, integrals of motion, Jacobi integrals and energy conservation, Concept of symmetry, invariance under Galilean transformation, velocity dependent potential. (6L+5P) 3 Hamilton s formulation Hamilton s function and Hamilton s equation of motion, configuration space, phase space and state space, Lagrangian and Hamiltonian of relativistic particles and light rays. (3L+4P) 4 Variational Principle Variational principle, Euler s equation, applications of variational principle, shortest distance problem, brachistrochrone, Geodesics of a Sphere. (3L+2P) 5 Canonical Transformations Generating function, Conditions for canonical transformation and problem. (3L+2P) 6 Poisson Brackets Definition, Identities, Poisson theorem, Jacobi-Poisson theorem, Jacobi identity, (statement only), invariance of PB under canonical transformation. (2L+3P) 7 Rotational Motion Rotating frames of reference, inertial forces in rotating frames, Larmour precision, electromagnetic analogy of inertial forces, effects of Coriolis force, Focoult s pendulum. (3L+3P) 8 Central Force Two body central force problem, stability of orbits, condition for closure, integrable power laws, Kepler s problems, orbits of artificial satellites, Virial theorem. (3L+2P)

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