Theoretical Mechanics (English)

   Saturday, March 23, 2024   

Starting a new Lecture Notes Series on Theoretical Mechanics

Youtube Lecture Playlist Credits 

Channel Name: NPTEL IIT Guwahati

So Let Us Start to This Journey of Learning 

Theoretical Mechanics By Lecture Notes together!

Lecture 1: Theoretical Mechanics

Lecture 2: Lec 01: Introduction, Constraints

Lecture 3: Lec 02 : Generalized Coordinates, Configuration Space

Lecture 4: Lec 03 : Principle of Virtual Work

Lecture 5: Lec 04 : D'Alembert's Principle

Lecture 6: Lec 05 : Lagrange's Equations

Lecture 7: Lec 6: Hamilton's Principle

Lecture 8: Lec 7: Variational Calculus, Lagrange's Equations

Lecture 9: Lec 8: Conservation Laws and Symmetries

Lecture 10: Lec 9: Velocity Dependent Potentials, Non-holonomic Constraints

Lecture 11: Lec 10: An Example: Hoop on a ramp

Lecture 12: Lec 11: Phase Space

Lecture 13: Lec 12: Central Force Problem, Constants of Motion

Lecture 14: Lec 13: Classification of Orbits

Lecture 15: Lec 14: Determining Orbits

Lecture 16: Lec 15: Kepler Problem

Lecture 17: Lec 16: Runge-Lenz Vector, Virial Theorem

Lecture 18: Lec 17: Scattering - I

Lecture 19: Lec 18: Scattering -II

Lecture 20: Lec 19: Rigid Bodies and Generalised Coordinates

Lecture 21: Lec 20: Rotations and Euler Angles

Lecture 22: Lec 21: Rotating Frames

Lecture 23: Lec 22: Instantaneous Angular Velocity

Lecture 24: Lec 23: Moment of Inertia Tensor

Lecture 25: Lec 24: Euler Equations

Lecture 26: Lec 25: Heavy Symmetric Top

Lecture 27: Lec 26: Legendre Transforms

Lecture 28: Lec 27: Hamilton's Equations

Lecture 29: Lec 28: Conservation Laws, Routh's procedure

Lecture 30: Lec 29: An Example:Bead on Spinning Ring

Lecture 31: Lec 30: Canonical Transformations

Lecture 32: Lec 31: Symplectic Condition

Lecture 33: Lec 32: Canonical Invariants, Harmonic Oscillator

Lecture 34: Lec 33: Poisson Bracket Formulation

Lecture 35: Lec 34: Infinitesimal Canonical Transformations

Lecture 36: Lec 35: Symmetry Groups of Mechanical Systems

Lecture 37: Lec 36: Hamilton Jacobi Theory

Lecture 38: Lec 37: Action-Angle Variables

Lecture 39: Lec 38: Separation of Variables and Examples

Lecture 40: Lec 39: Small Oscillations

Lecture 41: Lec 40: Coupled Oscillators

Lecture 42: Lec 41: General Formalism

Lecture 43: Lec 42: Double Pendulum