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Introduction To Classical Mechanics

Prof. Anurag Tripathi · IIT Hyderabad

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Classical Mechanics: L1: Introduction. Symmetries of space and time. Video
  2. Cassical Mechanics: L2: Generalized coordinates and degrees of freedom Video
  3. Classical Mechanics: L3: Virtual Work Video
  4. Classical Mechanics: L4: Virtual Work (rigid body) Video
  5. Classical Mechanics: L5: d'Alembert Principle Video
  6. Classical Mechanics: L6: Euler Lagrange Equation for a holonomic system Video
  7. Classical Mechanics: L7: Euler Lagrange Equations. Examples. Video

Week 2

  1. "Classical Mechanics: L8: Euler Lagrange Equations. Examples continued" Video
  2. Classical Mechanics: L9: Properties of Lagrangian Video
  3. Classical Mechanics: L10: Kinetic term in generalized coordinates Video
  4. Classical Mechanics: L11: Cyclic coordinates Video
  5. Classical Mechanics: L12: Conservation laws - Conservation of Energy Video
  6. Classical Mechanics: L13: Energy Function, Jacobi's Integral Video
  7. Classical Mechanics: L14: Momemtum conservation Video

Week 3

  1. Classical Mechanics: L15: Matrices and all that Video
  2. Classical Mechanics: L16: Matrices, Forms, and all that Video
  3. Classical Mechanics: L17: Principal axis transformation Video
  4. Classical Mechanics: L18: Small Oscilaltions Video
  5. Classical Mechanics: L19: Oscillations, Normal Coordinates Video
  6. Classical Mechanics: L20: Oscillations, Triatomic molecule Video

Week 4

  1. Classical Mechanics: L21: Triatomic molecule normal coordinates Video
  2. Classical Mechanics: L22: Coupled pendulums, normal modes Video
  3. Classical Mechanics: L23: Coupled pendulums, Beats Video
  4. Classical Mechanics: L24: Oscillations, General solution Video
  5. Classical Mechanics: L25: Forced oscillations Video
  6. Classical Mechanics: L26: Damped oscillations Video
  7. Classical Mechanics: L27: Forced Damped oscillations Video

Week 5

  1. Classical Mechanics: L28: one dimensional systems Video
  2. Classical Mechanics: L29: Two-body problem Video
  3. Classical Mechanics: L30: Two-body problem, Kepler's second law Video
  4. Classical Mecahnics: L31: Two-body problem, Kepler problem Video
  5. Classical Mecahnics: L31: Two-body problem, Conic Sections in Polar Coordinates Video
  6. Classical Mechanics: Two-body problem, Ellipse in polar coordinates Video

Week 6

  1. Classical Mechanics: Orbits in Kepler Problem Video
  2. Classical Mechanics: Apsidal distances, eccentricity of orbits Video
  3. Classical Mechanics: Kepler's Third law; Laplace-Runge-Lenz vector Video
  4. Classical Mechanics: Rigid Body, degrees of freedom Video

Week 7

  1. Classical Mechanics: Rigid Body, Transfromation matrix Video
  2. Classical Mechanics: Rigid Body, Euler Angles Video
  3. Classical Mechanincs: Parameterization using Euler Angles Video
  4. Classical Mechanics: Rigid Body, Euler's Theorem Video
  5. Classical Mechanics: General motion of a rigid body Video
  6. Classical Mechanics: Moment of Inertia Tensor Video

Week 8

  1. Classical Mechanics: Principal Moments Video
  2. Classical Mechanics: Langrangian of a rigid body Video
  3. Classical Mechanics: Motion of a free symmetric top Video
  4. Classical Mechanics: Angular velocity using Euler angles Video
  5. Classical Mechanics: Lagrangian of a heavy symmetric top Video

Week 9

  1. Classical Mechanics: First integrals of a heavy symmetric top Video
  2. Classical Mechanics: Nutation and Precission of a heavy symmetric top Video
  3. Sleeping Top Video
  4. Rotating Frames. Euler Equations Video

Week 10

  1. Calculus of Variations: Functionals Video
  2. Method of Lagrange Multipliers Video
  3. Calculus of Variations: Condition for extremum Video
  4. Calculus of Variations: Several variables Video

Week 11

  1. Cartesian Tensors Video
  2. Hamiltonian Mechanics: Hamilton's equations of motion Video
  3. Hamiltonian Mechanics: Liouville's theorem Video

Week 12

  1. Hamiltonian Mechanics: Poisson Bracket Video
  2. Hamiltonian Mechanics: Canonical Coordinates Video
  3. Hamiltonian Mechanics: Generating Function of Canonical Transformations Video
  4. Hamiltonian Mechanics: Generating functions of the 4 kinds Video
  5. Examples of Generating Functions Video
  6. Harmonic Oscillator (Canonical Transformations) Video
  7. Invariance of Poisson Brackets Video
  8. Normal modes of triatomic molecule using Mathematica Video

Live Session

  1. Live Session 10-08-2021 Video
  2. Live Session 10-12-2021 Video
  3. Live Session 16-10-2021 Video
  4. Live Session 31-07-2020 Video
  5. Live Session 24-10-2020 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Hyderabad
Department
Physics
Teacher
Prof. Anurag Tripathi
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. Coordinated by IIT Madras.
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