P401 Classical Mechanics II

Course No: 
  1. Rigid body dynamics, Euler angle, Euler equations (should solve up to nutation of a top)
  2. Elastic Continua – Small deformations, stress tensor, elastic energy, equation of motion, Mechanics of continuous media
  3. Strings, Euler Lagrange equation for continuous medium, Bernoullis and DAlemberts solutions, Sturm-Liouville theory
  4. Membranes – Scalar Helmholtz equation and its solution in various geometries
  5. Fluids – Newtons second law for an ideal fluid, continuity equation, Euler equation, Bernoullis theorem, sound waves in fluids
  6. Surface waves on Fluids – Tidal waves (long waves on shallow water), surface waves on deep water, solitary waves.
  7. Viscous Fluids – Viscous stress tensor, Navier Stokes equation, examples of incompressible flow, sound waves in viscous fluids 
Reference Books: 
  1. Classical Mechanics by Rana and Jog
  2. Classical Mechanics by Goldstein
  3. Classical Mechanics by Fetters and Walecka
  4. Fluid Mechanics by L. Landau and E. Lifshitz
  5. Theory of Elasticity by L. Landau and E. Lifshitz
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