Lagrange Equations: Multiple Particles and Constraints

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 - https://www.youtube.com/playlist?list=PLdgVBOaXkb9DSSqQZWfBrZy_rOljWmA3j

Lecture Notes: https://drive.google.com/open?id=12DXpoikDTXqKvZZDejS-WvZE2BiayERS
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Видео Lagrange Equations: Multiple Particles and Constraints канала Faculty of Khan