Physics Notes - Herong's Tutorial Notes - v3.24, by Herong Yang
Introduction of Lagrangian
This chapter provides an introduction of Lagrangian Mechanics. Topics include introduction of Lagrangian; Action, Hamilton Principle, Stationary Action, Lagrange Equations, examples of free fall motion; simple harmonic motion, simple pendulum motion.
Action - Integral of Lagrangian
Action - Functional of Position Function x(t)
Hamilton's Principle - Stationary Action
Other Proofs of the Lagrange Equation
Lagrange Equation on Free Fall Motion
Lagrange Equation on Simple Harmonic Motion
Takeaways:
Table of Contents
Introduction of Frame of Reference
Introduction of Special Relativity
Time Dilation in Special Relativity
Length Contraction in Special Relativity
The Relativity of Simultaneity
Minkowski Spacetime and Diagrams
Introduction of Generalized Coordinates