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TFY 4345: Classical Mechanics

TFY 4345: Classical Mechanics (Spring 2012, NTNU openVideo). Instructor: Professor Jacob Linder. Constraints and generalized coordinates. Virtual displacements, Lagrange's equations. Variational calculus, Hamilton's principle. Lagrangian for particle in electromagnetic field. Constants of motion, symmetry properties. Virial theorem. Central forces, scattering. Elements of the kinematics and dynamics of rigid bodies. Special relativity. Normal coordinates. Hamilton's equations. Canonical transformations.

Lecture 34 - Special Theory of Relativity, Part 2

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Lecture 01 - Introduction and Fundamental Principles

Lecture 02 - Fundamentals Part2, Generalized Coordinates

Lecture 03 - D'Alembert's Principle and Lagrange's Equation

Lecture 04 - D'Alembert's Principle Part 2

Lecture 05 - Hamilton's Principles, Part 1

Lecture 06 - Hamilton's Principles, Part 2

Lecture 07 - Lagrange Multiplier Method, Part 1

Lecture 08 - Lagrange Multiplier Method, Part 2

Lecture 09 - Conservation Laws and Symmetries, Part 1

Lecture 10 - Conservation Laws and Symmetries, Part 2

Lecture 11 - Hamiltonian Formalism, Part 1

Lecture 12 - Hamiltonian Formalism, Part 2

Lecture 13 - Central Forces, Part 1

Lecture 14 - Central Forces, Part 2

Lecture 15 - Particle Orbits and Virial Theorem

Lecture 16 - Particle Orbits and Virial Theorem, Part 2

Lecture 17 - Kepler Problem

Lecture 18 - Kepler Problem, Part 2

Lecture 19 - Scattering Cross Section

Lecture 20 - Scattering Cross Section, Part 2

Lecture 21 - Rigid Body Rotation

Lecture 22 - Rigid Body Rotation, Part 2

Lecture 23 - Time Change of Vectors in Rotating Systems

Lecture 24 - Time Change of Vectors in Rotating Systems, Part 2

Lecture 25 - Rigid Body Motion, Part 1

Lecture 26 - Rigid Body Motion, Part 2

Lecture 27 - Gyroscope Effect and Spinning Top

Lecture 28 - Gyroscope Effect and Spinning Top, Part 2

Lecture 29 - Small-scale Oscillations, Part 1

Lecture 30 - Small-scale Oscillations, Part 2

Lecture 31 - Normal Coordinates and Vibrations, Part 1

Lecture 32 - Normal Coordinates and Vibrations, Part 2

Lecture 33 - Special Theory of Relativity, Part 1

Lecture 34 - Special Theory of Relativity, Part 2

Lecture 35 - Lorentz Transformations

Lecture 36 - Lorentz Transformations, Part 2

Lecture 37 - Time Dilation and Length Contraction, Part 1

Lecture 38 - Time Dilation and Length Contraction, Part 2

Lecture 39 - Relativistic Kinematics, Part 1

Lecture 40 - Relativistic Kinematics, Part 2

Lecture 41 - Threshold Energy, Part 1

Lecture 42 - Threshold Energy, Part 2

Lecture 43 - EM Field Tensor and Canonical Transformations, Part 1

Lecture 44 - EM Field Tensor and Canonical Transformations, Part 2

Lecture 45 - Canonical Transformations, Part 3

Lecture 46 - Canonical Transformations, Part 4

Lecture 47 - Poisson Brackets, Part 1

Lecture 48 - Poisson Brackets, Part 2

Lecture 49 - April Hamilton Jacobi Theory, Part 1

Lecture 50 - April Hamilton Jacobi Theory, Part 2

Lecture 51 - Summary