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YouTube

Newtonian, Lagrangian, and Hamiltonian Methods for Simple Pendulum Motion

Dot Physics via YouTube

Overview

Explore the equations of motion for a simple pendulum through three distinct methods: Newtonian, Lagrangian, and Hamiltonian mechanics in this 39-minute physics video. Begin with an introduction, then delve into the Newtonian approach, followed by a numerical solution using Python. Progress to the Lagrangian method, then the Hamiltonian approach, comparing the results. Conclude with an examination of phase space. Access supplementary Python code and a related video on acceleration in polar coordinates to enhance understanding of these fundamental physics concepts.

Syllabus

- Intro
- Newtonian
- Numerical solution python
- Lagrangian
- Hamiltonian
- Comparing Hamiltonian
- Phase space

Taught by

Dot Physics

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