Classical Mechanics-I-::-Dec20-Mar21@CMI --- Practical Information-II

1. Dec 14, 2020 ---  Lecture 1
   
   • Course Overview
2. Dec 18, 2020 Class Cancelled for Technical Reasons
   
3. Dec 21, 2020  --- Lecture 2

• Vectors as Geometrical  Objects

• Einstein Summation Convention

1. Rotation of Vectors,
2. Kronecker delta and Levi-Civita epsilon symbols

• Tutorial and Concluding Remarks (To Be Linked)

1. Jan 4, 2021
    Structure of Newtonian Mechanics
     Frames of Reference
2. Jan 8, 11, 15, 2021, [Cancelled]

Conservative and Non-conservative Forces; Energy Conservation;
Bounded Motion, Time period; Small Oscillations;
Getting qualitative features using energy conservation

Separation of Centre of Mass; Motion of centre of mass and relative motion;
Conservation of Total Momentum; Two particle collisions.
Angular Momentum Conservation in  spherically symmetric potential problems
Planetary motion; Bounded and unbounded orbits;
Qualitative features of motion in a spherically symmetric potential.Scattering.

Momentum, Energy, and Angular Momentum of a multi-particle system;
Separation into center of mass and relative coordinates.
Galilean Transformations

• Kinematics of Rigid Bodies;
• Rigid Body Dynamics-I
• Special Theory of Relativity
• Euler Lagrange Formulation
• Action Principle; Hamiltonian formulation; Poisson brackets;
• Dynamics of Rigid Bodies-II