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Course11510311545 lectures

Theoretical Mechanics

Prof. Charudatt Kadolkar · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

week-01

  1. Lec 01: Introduction, Constraints Video
  2. Lec 02 : Generalized Coordinates, Configuration Space Video
  3. Lec 03 : Principle of Virtual Work Video
  4. Lec 04 : D'Alembert's Principle Video
  5. Lec 05 : Lagrange's Equations Video

week-02

  1. Lec 6: Hamilton's Principle Video
  2. Lec 7: Variational Calculus, Lagrange's Equations Video
  3. Lec 8: Conservation Laws and Symmetries Video

week-03

  1. Lec 9: Velocity Dependent Potentials, Non-holonomic Constraints Video
  2. Lec 10: An Example: Hoop on a ramp Video
  3. Lec 11: Phase Space Video

week-04

  1. Lec 12: Central Force Problem, Constants of Motion Video
  2. Lec 13: Classification of Orbits Video
  3. Lec 14: Determining Orbits Video
  4. Lec 15: Kepler Problem Video

week-05

  1. Lec 16: Runge-Lenz Vector, Virial Theorem Video
  2. Lec 17: Scattering - I Video
  3. Lec 18: Scattering -II Video

week-06

  1. Lec 19: Rigid Bodies and Generalised Coordinates Video
  2. Lec 20: Rotations and Euler Angles Video
  3. Lec 21: Rotating Frames Video

week-07

  1. Lec 22: Instantaneous Angular Velocity Video
  2. Lec 23: Moment of Inertia Tensor Video
  3. Lec 24: Euler Equations Video
  4. Lec 25: Heavy Symmetric Top Video

week-08

  1. Lec 26: Legendre Transforms Video
  2. Lec 27: Hamilton's Equations Video
  3. Lec 28: Conservation Laws, Routh's procedure Video
  4. Lec 29: An Example:Bead on Spinning Ring Video

week-09

  1. Lec 30: Canonical Transformations Video
  2. Lec 31: Symplectic Condition Video
  3. Lec 32: Canonical Invariants, Harmonic Oscillator Video

week-10

  1. Lec 33: Poisson Bracket Formulation Video
  2. Lec 34: Infinitesimal Canonical Transformations Video
  3. Lec 35: Symmetry Groups of Mechanical Systems Video

week-11

  1. Lec 36: Hamilton Jacobi Theory Video
  2. Lec 37: Action-Angle Variables Video
  3. Lec 38: Separation of Variables and Examples Video

week-12

  1. Lec 39: Small Oscillations Video
  2. Lec 40: Coupled Oscillators Video
  3. Lec 41: General Formalism Video
  4. Lec 42: Double Pendulum Video

Live Session

  1. Live Session 15-10-2020 Video
  2. Live Session 03-12-2020 Video
  3. Live Session 18-09-2019 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Physics
Teacher
Prof. Charudatt Kadolkar
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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