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M.Sc. (Physics) | Subject: Classical Mechanics | Subject Code: 09020102

Subject: Classical Mechanics   

Subject Code: 09020102

S.N Topic Domain Hours as per UGC
1 LAGRANGIAN FORMULATION &HAMILTON’S PRINCIPLES

·      Mechanics of a system of particles

·      constraints of motion,

·      generalized coordinates

·      D’Alembert’s Principle

·      Lagrange’s velocity dependent forces (gyroscopic)

·      dissipation function

·      Application of Lagrangian formulation,

·      Hamilton principle,

·      Lagrange’s equation from Hamilton principle

·      extension to non-holonomic systems

Must Know 10
2 RIGID BODY MOTION

·      Reduction to equivalent one body problem

·      the equation of motion and first integrals

·      the equivalent one dimensional problem

·      classification of orbits

·      the differential equation for orbits.

·      Kepler’s problem (inverse square law),

·      scattering in central force field

·      The Euler’s angles,

·      rate of change of a vector

·      Coriolis force and its applications.

Must know 10
3 SMALL OSCILLATIONS & HAMILTON EQUATION

·      Euler equation of motion

·      Torque free motion of rigid body,

·      motion of a symmetrical top,

·      Eigen value equation,

·      Free vibrations, Normal coordinates

·      vibration of Tri-atomic Molecule,

·      Legendre Transformation

·      Hamilton’s equations of motion,

·      Hamilton’s equations from variation principle,

·      Principle of least action.

Must know

 

Nice to know

10
4 CANONICAL TRANSFORMATION AND HAMILTON-JACOBI THEORY

·      Canonical transformation and its examples

·      Poisson’s brackets

·      Equation of motion

·      Angular momentum,

·      Poisson’s Brackets relations,

·      infinitesimal canonical transformation,

·      Conservation Theorems.,

·      Hamilton-Jacobi equation

·      Hamilton’s principal function,

·      Harmonic Oscillator problem

Must know

 

Nice to know

10

Text Books:

  1. N.C. Rana and P.S. Joag. Classical Mechanics. Tata McGraw-Hill, 1991.
  2. Kiran C. Gupta. Classical Mechanics of Particles and Rigid Bodies. New Delhi: Wiley Eastern.