Classical Mechanics

CSIR NET 2020 Syllabus

  • Newton’s laws. Dynamical systems, 
  • Phase space dynamics, stability analysis. 
  • Central force motions. 
  • Two body Collisions - scattering in laboratory and Centre of mass frames. 
  • Rigid body dynamics moment of inertia tensor. 
  • Non-inertial frames and pseudo forces. 
  • Variational principle. Generalized coordinates. 
  • Lagrangian and Hamiltonian formalism and equations of motion. 
  • Conservation laws and cyclic coordinates. 
  • Periodic motion: small oscillations, normal modes. 
  • The special theory of relativity 
  • Lorentz transformations
  • relativistic kinematics and mass-energy equivalence.

GATE 2020 Syllabus

  • D’Alembert’s principle
  • Cyclic coordinates, 
  • The variational principle
  • Lagrange’s equation of motion
  • Central force and scattering problems 
  • rigid body motion; small oscillations 
  • Hamilton’s formalisms 
  • Poisson bracket
  • The special theory of relativity
  • Lorentz transformations, relativistic kinematics, mass‐energy equivalence

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