Lagrangian Mechanics: Mass on a Frictionless Table with a Hole and Hanging Mass - Lecture
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Overview
Explore a fascinating physics problem involving a mass on a frictionless table connected to a hanging mass through a hole. Learn how to model this system using Lagrangian mechanics. Begin by finding the Lagrangian and applying the Euler-Lagrange equation. Dive into numerical calculations and examine the provided Python code for implementation. Visualize the system's behavior through energy and angular momentum graphs. Conclude by investigating stable circular motion conditions. Access the instructor's Python code and Classical Mechanics playlist for further study. Perfect for those interested in advanced classical mechanics and computational physics.
Syllabus
- Intro
- Finding Lagrangian
- Euler Lagrange Equation
- Numerical Calculation
- Python code
- Graphing Energy
- Graphing angular momentum
- Stable circular motion
Taught by
Dot Physics