Class Plans

Week 6 (Sep 02 - Aug 06 ): [PD]

Week 5 (Aug 26 - Aug 30 ): [PD]

Aug 27: Dissipative systems and Rayleigh's prescription, Closed system and Symmetry, Introduction to central force problem.

Aug 28: Reduction of central force problem to one dimension, effective potential and classification of orbits.

Aug 30: The effective potential picture, LaplaceRunge Lenz vector and orbits in Keepler potential.

Aug 30: The effective potential picture, LaplaceRunge Lenz vector and orbits in Keepler potential.

Week 4 (Aug 19 - Aug 23 ): [AS]

Aug 20:

Aug 21:

Week 3 (Aug 12 - Aug 16 ): [PD]

Aug 16: Cyclic coordinates, Lagrange's methods of undetermined multipliers.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Aug 14: Euler Lagrange equation, energy theorem, canonical momentum.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Aug 13: Hamilton's Principle and Lagrangian Mechanics.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Week 2 (Aug 05 - Aug 10 ): [PD]

Aug 07: Principle of virtual work and d Alembert's principle. Introduction to calculus of variations.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Aug 06: Types of dynamical systems.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Aug 05: Geometry of the configuration space and constrained forces, external forces and generalised forces.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Week 1 (Jul 30 - Aug 02 ): [PD]

Jul 30: Introductory Class, discussion about course content and structure.

Jul 31: Introduction to Classical Mechanics, Generalised coordinates.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]

Aug 02: Configuration space, Point transformations.

[Ref: The Variational Principles of Mechanics by Cornelius Lanczos ]