Explore the application of Lagrange Multipliers to determine the force of constraint for a swinging pendulum in this 27-minute physics tutorial. Delve into the process of finding kinetic energy, deriving the Euler-Lagrange equation, and implementing a numerical solution. Learn how to use Python to solve the differential equation and perform a work-energy check. Follow along with the step-by-step explanation, including code examples and a comprehensive breakdown of the problem-solving approach. Gain valuable insights into advanced classical mechanics concepts and their practical implementation through computational methods.
Overview
Syllabus
- Intro
- Finding kinetic energy
- Euler Lagrange equation
- Numerical solution
- Python
- Work Energy Check
Taught by
Dot Physics
Related Courses
-
Lagrangian Mechanics: Mass on a Frictionless Table with a Hole and Hanging Mass - Lecture
-
Lagrange Multipliers - Force of Constraint for a Disk Rolling Down an Incline
-
Classical Mechanics
5.0 -
Lagrange Multipliers - Force of Constraint for a Yo-Yo
-
Lagrange Multipliers: Force of Constraint in Polar Coordinates for a Block on an Inclined Plane
-
Bead on a Spinning Wire Hoop: Lagrangian Mechanics
