NPTEL : NOC:Theoretical Mechanics (Physics)

Co-ordinators : Dr. Charudatt Y. Kadolkar


Lecture 1 - Introduction, Constraints

Lecture 2 - Generalized Coordinates, Configuration Space

Lecture 3 - Principle of Virtual Work

Lecture 4 - D'Alembert's Principle

Lecture 5 - Lagrange's Equations

Lecture 6 - Hamilton's Principle

Lecture 7 - Variational Calculus, Lagrange's Equations

Lecture 8 - Conservation Laws and Symmetries

Lecture 9 - Velocity Dependent Potentials, Non-holonomic Constraints

Lecture 10 - An Example: Hoop on a ramp

Lecture 11 - Phase Space

Lecture 12 - Legendre Transforms

Lecture 13 - Hamilton's Equations

Lecture 14 - Conservation Laws, Routh's procedure

Lecture 15 - An Example:Bead on Spinning Ring

Lecture 16 - Canonical Transformations

Lecture 17 - Symplectic Condition

Lecture 18 - Canonical Invariants, Harmonic Oscillator

Lecture 19 - Poisson Bracket Formulation

Lecture 20 - Infinitesimal Canonical Transformations

Lecture 21 - Symmetry Groups of Mechanical Systems

Lecture 22 - Hamilton Jacobi Theory

Lecture 23 - Action-Angle Variables

Lecture 24 - Separation of Variables and Examples

Lecture 25 - Continuous Systems and Fields

Lecture 26 - The Stress-Energy Tensor

Lecture 27 - Hamiltonian Formulation