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.

What Is Lagrangian

Action - Integral of Lagrangian

Action - Functional of Position Function x(t)

Hamilton's Principle - Stationary Action

What Is Lagrange Equation

Other Proofs of the Lagrange Equation

Lagrange Equation on Free Fall Motion

Lagrange Equation on Simple Harmonic Motion

Lagrangian in Cartesian Coordinates

Lagrange Equations in Cartesian Coordinates


Table of Contents

 About This Book

 Introduction of Space

 Introduction of Frame of Reference

 Introduction of Time

 Introduction of Speed

 Newton's Laws of Motion

 Introduction of Special Relativity

 Time Dilation in Special Relativity

 Length Contraction in Special Relativity

 The Relativity of Simultaneity

 Introduction of Spacetime

 Minkowski Spacetime and Diagrams

 Introduction of Hamiltonian

Introduction of Lagrangian

 Introduction of Generalized Coordinates

 Phase Space and Phase Portrait


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