Learn · Introduction To Classical Mechanics
Lecture 49 of 72Week 9
Classical Mechanics: First integrals of a heavy symmetric top
Prof. Anurag Tripathi · IIT Hyderabad
Credits and licence
- From
- Introduction To Classical Mechanics, IIT Hyderabad (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Classical Mechanics: L1: Introduction. Symmetries of space and time.
- Cassical Mechanics: L2: Generalized coordinates and degrees of freedom
- Classical Mechanics: L3: Virtual Work
- Classical Mechanics: L4: Virtual Work (rigid body)
- Classical Mechanics: L5: d'Alembert Principle
- Classical Mechanics: L6: Euler Lagrange Equation for a holonomic system
- Classical Mechanics: L7: Euler Lagrange Equations. Examples.
- "Classical Mechanics: L8: Euler Lagrange Equations. Examples continued"
- Classical Mechanics: L9: Properties of Lagrangian
- Classical Mechanics: L10: Kinetic term in generalized coordinates
- Classical Mechanics: L11: Cyclic coordinates
- Classical Mechanics: L12: Conservation laws - Conservation of Energy
- Classical Mechanics: L13: Energy Function, Jacobi's Integral
- Classical Mechanics: L14: Momemtum conservation
- Classical Mechanics: L15: Matrices and all that
- Classical Mechanics: L16: Matrices, Forms, and all that
- Classical Mechanics: L17: Principal axis transformation
- Classical Mechanics: L18: Small Oscilaltions
- Classical Mechanics: L19: Oscillations, Normal Coordinates
- Classical Mechanics: L20: Oscillations, Triatomic molecule
- Classical Mechanics: L21: Triatomic molecule normal coordinates
- Classical Mechanics: L22: Coupled pendulums, normal modes
- Classical Mechanics: L23: Coupled pendulums, Beats
- Classical Mechanics: L24: Oscillations, General solution
- Classical Mechanics: L25: Forced oscillations
- Classical Mechanics: L26: Damped oscillations
- Classical Mechanics: L27: Forced Damped oscillations
- Classical Mechanics: L28: one dimensional systems
- Classical Mechanics: L29: Two-body problem
- Classical Mechanics: L30: Two-body problem, Kepler's second law
- Classical Mecahnics: L31: Two-body problem, Kepler problem
- Classical Mecahnics: L31: Two-body problem, Conic Sections in Polar Coordinates
- Classical Mechanics: Two-body problem, Ellipse in polar coordinates
- Classical Mechanics: Orbits in Kepler Problem
- Classical Mechanics: Apsidal distances, eccentricity of orbits
- Classical Mechanics: Kepler's Third law; Laplace-Runge-Lenz vector
- Classical Mechanics: Rigid Body, degrees of freedom
- Classical Mechanics: Rigid Body, Transfromation matrix
- Classical Mechanics: Rigid Body, Euler Angles
- Classical Mechanincs: Parameterization using Euler Angles
- Classical Mechanics: Rigid Body, Euler's Theorem
- Classical Mechanics: General motion of a rigid body
- Classical Mechanics: Moment of Inertia Tensor
- Classical Mechanics: Principal Moments
- Classical Mechanics: Langrangian of a rigid body
- Classical Mechanics: Motion of a free symmetric top
- Classical Mechanics: Angular velocity using Euler angles
- Classical Mechanics: Lagrangian of a heavy symmetric top
- Classical Mechanics: First integrals of a heavy symmetric top
- Classical Mechanics: Nutation and Precission of a heavy symmetric top
- Sleeping Top
- Rotating Frames. Euler Equations
- Calculus of Variations: Functionals
- Method of Lagrange Multipliers
- Calculus of Variations: Condition for extremum
- Calculus of Variations: Several variables
- Cartesian Tensors
- Hamiltonian Mechanics: Hamilton's equations of motion
- Hamiltonian Mechanics: Liouville's theorem
- Hamiltonian Mechanics: Poisson Bracket
- Hamiltonian Mechanics: Canonical Coordinates
- Hamiltonian Mechanics: Generating Function of Canonical Transformations
- Hamiltonian Mechanics: Generating functions of the 4 kinds
- Examples of Generating Functions
- Harmonic Oscillator (Canonical Transformations)
- Invariance of Poisson Brackets
- Normal modes of triatomic molecule using Mathematica
- Live Session 10-08-2021
- Live Session 10-12-2021
- Live Session 16-10-2021
- Live Session 31-07-2020
- Live Session 24-10-2020