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Newtonian, Lagrangian, and Hamiltonian Methods for Simple Pendulum Motion

Offered By: Dot Physics via YouTube

Tags

Classical Mechanics Courses Python Courses Numerical Methods Courses Newtonian Mechanics Courses Phase Space Courses Polar Coordinates Courses Equations of Motion Courses Lagrangian Mechanics Courses

Course Description

Overview

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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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