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Last updated:

September 23, 2023

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Description

Theoretical Mechanics. Instructor: Prof. Charudatt Kadolkar, Department of Physics, IIT Guwahati.

This course focuses on analytical aspects of classical mechanics and is targeted towards the audience who are interested in pursuing research in Physics. Various formulations of mechanics, like the Lagrangian formulation, the Hamiltonian formulation, the Poisson bracket formulation will be taught in the course. The course also introduces the mechanics of continuous systems and fields. (from nptel.ac.in)

Course Curriculum

  • Lecture 01 – Introduction Unlimited
  • Lecture 02 – Generalized Coordinates, Configuration Space Unlimited
  • Lecture 03 – Principle of Virtual Work Unlimited
  • Lecture 04 – D’Alembert’s Principle Unlimited
  • Lecture 05 – Lagrange’s Equations Unlimited
  • Lecture 06 – Hamilton’s Principle Unlimited
  • Lecture 07 – Variational Calculus, Lagrange’s Equations Unlimited
  • Lecture 08 – Conservation Laws and Symmetries Unlimited
  • Lecture 09 – Velocity Dependent Potentials, Non-holonomic Constraints Unlimited
  • Lecture 10 – An Example: Hoop on a Ramp Unlimited
  • Lecture 11 – Phase Space Unlimited
  • Lecture 12 – Central Force Problem, Constants of Motion Unlimited
  • Lecture 13 – Classification of Orbits Unlimited
  • Lecture 14 – Determining Orbits Unlimited
  • Lecture 15 – Kepler Problem Unlimited
  • Lecture 16 – Runge-Lenz Vector, Virial Theorem Unlimited
  • Lecture 17 – Scattering Unlimited
  • Lecture 18 – Scattering (cont.) Unlimited
  • Lecture 19 – Rigid Bodies and Generalized Coordinates Unlimited
  • Lecture 20 – Rotations and Euler Angles Unlimited
  • Lecture 21 – Rotating Frames Unlimited
  • Lecture 22 – Instantaneous Angular Velocity Unlimited
  • Lecture 23 – Moment of Inertia Tensor Unlimited
  • Lecture 24 – Euler Equations Unlimited
  • Lecture 25 – Heavy Symmetric Top Unlimited
  • Lecture 26 – Legendre Transforms Unlimited
  • Lecture 27 – Hamilton’s Equations Unlimited
  • Lecture 28 – Conservation Laws, Routh’s Procedure Unlimited
  • Lecture 29 – An Example: Bead on Spinning Ring Unlimited
  • Lecture 30 – Canonical Transformations Unlimited
  • Lecture 31 – Symplectic Condition Unlimited
  • Lecture 32 – Canonical Invariants, Harmonic Oscillator Unlimited
  • Lecture 33 – Poisson Bracket Formulation Unlimited
  • Lecture 34 – Infinitesimal Canonical Transformations Unlimited
  • Lecture 35 – Symmetry Groups of Mechanical Systems Unlimited
  • Lecture 36 – Hamilton Jacobi Theory Unlimited
  • Lecture 37 – Action-Angle Variables Unlimited
  • Lecture 38 – Separation of Variables and Examples Unlimited
  • Lecture 39 – Small Oscillations Unlimited
  • Lecture 40 – Coupled Oscillators Unlimited
  • Lecture 41 – General Formalism Unlimited
  • Lecture 42 – Double Pendulum Unlimited

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