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YouTube

Bead on a Spinning Wire Hoop: Lagrangian Mechanics

Dot Physics via YouTube

Overview

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Explore the fascinating world of Lagrangian mechanics through a 36-minute video tutorial that delves into the motion of a bead on a spinning wire hoop. Learn how to analyze this complex system by finding cartesian coordinates, deriving expressions for kinetic energy, and constructing the Lagrangian. Follow along as the instructor solves the resulting differential equation and demonstrates how to model the problem using Python. Gain insights into special cases and deepen your understanding of classical mechanics. Access additional resources, including the problem's code and a playlist of related Lagrangian and Classical Mechanics problems, to further enhance your learning experience.

Syllabus

- Intro
- Finding cartesian coordinates
- Derivatives for kinetic energy
- Writing the Lagrangian
- Solving differential equation
- Modeling in Python
- Special cases

Taught by

Dot Physics

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