Introduction & Fundamental Principles 
Introduction & Fundamental Principles
by NTNU / Jacob Linder
Video Lecture 1 of 51
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Date Added: May 23, 2017

Lecture Description

2012-01-11 - Jacob Linder: Lecture 1, 11.01.2012, Klassisk Mekanikk (TFY 4345) v2012 NTNU

Course Index

  1. Introduction & Fundamental Principles
  2. Fundamental Principles, Generalized Coordinates
  3. D'Alembert's Principle and Lagrange's Equation
  4. D'Alembert's Principle, Part 2
  5. Hamilton's Principles, Part 1
  6. Hamilton's Principles, Part 2
  7. Lagrange Multiplier Method
  8. Lagrange Multiplier Method, Part 2
  9. Conservation Laws and Symmetries
  10. Conservation Laws and Symmetries, Part 2
  11. Hamiltonian Formalism
  12. Hamiltonian Formalism, Part 2
  13. Central Forces
  14. Central Forces, Part 2
  15. Particle Orbits and Virial Theorem
  16. Particle Orbits and Virial Theorem, Part 2
  17. The Kepler Problem
  18. The Kepler Problem, Part 2
  19. Scattering Cross Section
  20. Scattering Cross Section, Part 2
  21. Rigid Body Rotation
  22. Rigid Body Rotation, Part 2
  23. Time Change of Vectors in Rotating Systems
  24. Time Change of Vectors in Rotating Systems, Part 2
  25. Rigid Body Motion
  26. Rigid Body Motion, Part 2
  27. Gyroscope Effect and Spinning Top
  28. Gyroscope Effect and Spinning Top, Part 2
  29. Small-scale Oscillations
  30. Small-scale Oscillations, Part 2
  31. Normal Coordinates and Vibrations
  32. Normal Coordinates and Vibrations, Part 2
  33. Special Theory of Relativity
  34. Special Theory of Relativity, Part 2
  35. Lorentz Transformations
  36. Lorentz Transformations, Part 2
  37. Time Dilation and Length Contraction
  38. Time Dilation and Length Contraction, Part 2
  39. Relativistic Kinematics
  40. Relativistic Kinematics, Part 2
  41. Threshold Energy
  42. Threshold Energy, Part 2
  43. EM field Tensor and Canonical Transformations
  44. EM field Tensor and Canonical Transformations, Part 2
  45. Canonical Transformations, Part 3
  46. Canonical Transformations, Part 4
  47. Poisson Brackets
  48. Poisson Brackets, Part 2
  49. Hamilton-Jacobi Theory
  50. Hamilton-Jacobi Theory, Part 2
  51. Summary of the Course

Course Description

A senior-level undergraduate course on classical mechanics by Jacob Linder at the Norwegian University of Science and Technology.

Topics include: Constraints and generalized coordinates. Virtual displacements, Lagange'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.

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