Lagrangian Mechanics: Constrained Systems Q&A

AI Thread Summary
The discussion centers on the application of Lagrange multipliers in Lagrangian mechanics, specifically regarding constrained systems. A user seeks clarification on how the method of Lagrange multipliers, typically used for constrained minimization, is applied to find extrema of the Action functional. There is a lack of responses to the inquiry, indicating a need for more engagement on the topic. The conversation highlights the intersection of mathematical methods and physical principles in mechanics. Understanding this application is crucial for solving problems involving constraints in Lagrangian systems.
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Is anyone good with Lagrangian mechanics applied to constrained systems?

I had a question about the Lagrange multiplier method, maybe I should have posted it in this section.

https://www.physicsforums.com/showthread.php?t=550139
 
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Are you asking why Lagrange multipilers are a way to do constrained minimization?
 
I'm asking how is the method of Lagrange Multipliers (which is used to find the extrema of level surfaces subject to constraints) used to find the extrema of the Action functional.

I thought I'd be more of a math question but nobody there is throwing me an answer.
 
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