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Introduction to Classical Mechanics - Course Introduction
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Classical Mechanics: L1: Introduction. Symmetries of space and time.
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Cassical Mechanics: L2: Generalized coordinates and degrees of freedom
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Classical Mechanics: L3: Virtual Work
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Classical Mechanics: L4: Virtual Work (rigid body)
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Classical Mechanics: L5: d'Alembert Principle
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Classical Mechanics: L6: Euler Lagrange Equation for a holonomic system
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Classical Mechanics: L7: Euler Lagrange Equations. Examples
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Classical Mechanics: L8: Euler Lagrange Equations. Examples continued
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Classical Mechanics: L9: Properties of Lagrangian
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Classical Mechanics: L10: Kinetic term in generalized coordinates
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Classical Mechanics: L11: Cyclic coordinates
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Classical Mechanics: L12: Conservation laws -Conservation of Energy
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Classical Mechanics: L13: Energy Function, Jacobi's Integral
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Classical Mechanics: L14: Momemtum conservation
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Classical Mechanics: L15: Matrices and all that
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Classical Mechanics: L16: Matrices, Forms, and all that
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Classical Mechanics: L17: Principal axis transformation
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Classical Mechanics: L18: Small Oscilaltions
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Classical Mechanics: L19: Oscillations, Normal Coordinates
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Classical Mechanics: L20: Oscillations, Triatomic molecule
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Classical Mechanics: L21: Triatomic molecule normal coordinates
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Classical Mechanics: L22: Coupled pendulums, normal modes
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Classical Mechanics: L23: Coupled pendulums, Beats
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Classical Mechanics: L24: Oscillations, General solution
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Classical Mechanics: L25: Forced oscillations
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Classical Mechanics: L26: Damped oscillations
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Classical Mechanics: L27: Forced Damped oscillations
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Classical Mechanics: L28: one dimensional systems
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Classical Mechanics: L29: Two-body problem
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Classical Mechanics: L30: Two-body problem, Kepler's second law
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Classical Mecahnics: L31: Two-body problem, Kepler problem
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"Classical Mecahnics: L31: Two-body problem, Conic Sections in Polar Coordinates"
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Classical Mechanics: Two-body problem, Ellipse in polar coordinates
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Orbits in Kepler Problem
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Apsidal distances, eccentricity of orbits
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Kepler's Third law; Laplace-Runge-Lenz vector
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Rigid Body, degrees of freedom
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Rigid Body, Transfromation matrix
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Rigid Body, Euler Angles
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Parameterization using Euler Angles
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Rigid Body, Euler's Theorem
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General motion of a rigid body
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Moment of Inertial Tensor
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Principal Moments
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Langrangian of a rigid body
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Motion of a free symmetric top
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Angular velocity using Euler angles
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Lagrangian of a heavy symmetric top
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Classical Mechanics: First integrals of a heavy symmetric top
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Classical Mechanics: Nutation and Precission of a heavy symmetric top
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Sleeping Top
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Rotating Frames. Euler Equations
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Calculus of Variations: Functionals
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Method of Lagrange Multipliers
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Calculus of Variations: Condition for extremum
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Calculus of Variations: Several variables
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Cartesian Tensors
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Hamiltonian Mechanics: Hamilton's equations of motion
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Hamiltonian Mechanics: Liouville's theorem
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Hamiltonian Mechanics: Poisson Bracket
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Hamiltonian Mechanics: Canonical Coordinates
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Hamiltonian Mechanics: Generating Function of Canonical Transformations
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Hamiltonian Mechanics: Generating functions of the 4 kinds
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Examples of Generating Functions
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Harmonic Oscillator (Canonical Transformations)
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Invariance of Poisson Brackets
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Normal modes of triatomic molecule using Mathematica
Description:
COURSE OUTLINE: This introductory course on Classical Mechanics covers the following topics: Euler Lagrange Equations, Small Oscillations, Central Force Problem, Rigid Body Motion. ABOUT INSTRUCTOR: Dr. Anurag Tripathi is an Assistant Professor in the Department of Physics at IIT Hyderabad since 2015 and his area of research is Theoretical High Energy Physics.

Introduction to Classical Mechanics

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Introduction to Classical Mechanics - Course Introduction