InfoCoBuild

Theoretical Mechanics

Theoretical Mechanics. Instructor: Prof. Charudatt Kadolkar, Department of Physics, IIT Guwahati. This course focuses on analytical aspects of classical mechanics and is targeted towards the audience who are interested in pursuing research in Physics. Various formulations of mechanics, like the Lagrangian formulation, the Hamiltonian formulation, the Poisson bracket formulation will be taught in the course. The course also introduces the mechanics of continuous systems and fields. (from nptel.ac.in)

Lecture 09 - Velocity Dependent Potentials, Non-holonomic Constraints

Go to the Course Home or watch other lectures:

Lecture 01 - Introduction

Lecture 02 - Generalized Coordinates, Configuration Space

Lecture 03 - Principle of Virtual Work

Lecture 04 - D'Alembert's Principle

Lecture 05 - Lagrange's Equations

Lecture 06 - Hamilton's Principle

Lecture 07 - Variational Calculus, Lagrange's Equations

Lecture 08 - Conservation Laws and Symmetries

Lecture 09 - Velocity Dependent Potentials, Non-holonomic Constraints

Lecture 10 - An Example: Hoop on a Ramp

Lecture 11 - Phase Space

Lecture 12 - Central Force Problem, Constants of Motion

Lecture 13 - Classification of Orbits

Lecture 14 - Determining Orbits

Lecture 15 - Kepler Problem

Lecture 16 - Runge-Lenz Vector, Virial Theorem

Lecture 17 - Scattering

Lecture 18 - Scattering (cont.)

Lecture 19 - Rigid Bodies and Generalized Coordinates

Lecture 20 - Rotations and Euler Angles

Lecture 21 - Rotating Frames

Lecture 22 - Instantaneous Angular Velocity

Lecture 23 - Moment of Inertia Tensor

Lecture 24 - Euler Equations

Lecture 25 - Heavy Symmetric Top

Lecture 26 - Legendre Transforms

Lecture 27 - Hamilton's Equations

Lecture 28 - Conservation Laws, Routh's Procedure

Lecture 29 - An Example: Bead on Spinning Ring

Lecture 30 - Canonical Transformations

Lecture 31 - Symplectic Condition

Lecture 32 - Canonical Invariants, Harmonic Oscillator

Lecture 33 - Poisson Bracket Formulation

Lecture 34 - Infinitesimal Canonical Transformations

Lecture 35 - Symmetry Groups of Mechanical Systems

Lecture 36 - Hamilton Jacobi Theory

Lecture 37 - Action-Angle Variables

Lecture 38 - Separation of Variables and Examples

Lecture 39 - Small Oscillations

Lecture 40 - Coupled Oscillators

Lecture 41 - General Formalism

Lecture 42 - Double Pendulum