Lecture 2 of 45week-01
Lec 02 : Generalized Coordinates, Configuration Space
Prof. Charudatt Kadolkar · IIT Guwahati
Credits and licence
- From
- Theoretical Mechanics, IIT Guwahati (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Lec 01: Introduction, Constraints
- Lec 02 : Generalized Coordinates, Configuration Space
- Lec 03 : Principle of Virtual Work
- Lec 04 : D'Alembert's Principle
- Lec 05 : Lagrange's Equations
- Lec 6: Hamilton's Principle
- Lec 7: Variational Calculus, Lagrange's Equations
- Lec 8: Conservation Laws and Symmetries
- Lec 9: Velocity Dependent Potentials, Non-holonomic Constraints
- Lec 10: An Example: Hoop on a ramp
- Lec 11: Phase Space
- Lec 12: Central Force Problem, Constants of Motion
- Lec 13: Classification of Orbits
- Lec 14: Determining Orbits
- Lec 15: Kepler Problem
- Lec 16: Runge-Lenz Vector, Virial Theorem
- Lec 17: Scattering - I
- Lec 18: Scattering -II
- Lec 19: Rigid Bodies and Generalised Coordinates
- Lec 20: Rotations and Euler Angles
- Lec 21: Rotating Frames
- Lec 22: Instantaneous Angular Velocity
- Lec 23: Moment of Inertia Tensor
- Lec 24: Euler Equations
- Lec 25: Heavy Symmetric Top
- Lec 26: Legendre Transforms
- Lec 27: Hamilton's Equations
- Lec 28: Conservation Laws, Routh's procedure
- Lec 29: An Example:Bead on Spinning Ring
- Lec 30: Canonical Transformations
- Lec 31: Symplectic Condition
- Lec 32: Canonical Invariants, Harmonic Oscillator
- Lec 33: Poisson Bracket Formulation
- Lec 34: Infinitesimal Canonical Transformations
- Lec 35: Symmetry Groups of Mechanical Systems
- Lec 36: Hamilton Jacobi Theory
- Lec 37: Action-Angle Variables
- Lec 38: Separation of Variables and Examples
- Lec 39: Small Oscillations
- Lec 40: Coupled Oscillators
- Lec 41: General Formalism
- Lec 42: Double Pendulum
- Live Session 15-10-2020
- Live Session 03-12-2020
- Live Session 18-09-2019