Lagrange Equations: Multiple Particles and Constraints @FacultyofKhan
Lagrange Equations: Multiple Particles and Constraints  @FacultyofKhan
Uploaded June 2018 | Updated September 2026, 2 weeks ago
In this video on Analytical Mechanics, I discuss extensions to the Lagrange equations when working with systems of multiple particles or when constraints are involved. I also discuss constraints in classical mechanics, including holonomic (scleronomic + rheonomic) and non-holonomic constraints.

I finish the video with a strategy on how to solve problems involving multiple particles and constraints using the Lagrange equations, which is a nice segue to my next video, where I solve an actual Action Problem.

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Prereqs: The videos before this one on my playlist - youtube.com/playlist?list=PLdgVBOaXkb9DSSqQZWfBrZy_rOljWmA3j

Lecture Notes: drive.google.com/open?id=12DXpoikDTXqKvZZDejS-WvZE2BiayERS
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Lagrange Equations: Multiple Particles and ConstraintsIntroduction to Operators in Quantum MechanicsBasic Linear Algebra Concepts for TensorsFourier Transforms in Partial Differential EquationsThe Principle of Stationary ActionDynamical Systems on a Circle | Nonlinear DynamicsHow to Transform Spacetime Diagrams | Special RelativityIntroducing Convolutions: Intuition + Convolution TheoremTime Dilation in Special Relativity: Derivation + ExampleIntroduction to Partial Differential Equations: Definitions/TerminologyFree Particle Solution to the Schrodinger Equation | Quantum MechanicsIntroduction to Heat Transfer
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Lagrange Equations: Multiple Particles and Constraints

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