Lagrangian Mechanics: Using Lagrange Multipliers to Find Forces of Constraint

This is part of my classical mechanics series. You can find all my videos in the series in the following playlist.
https://www.youtube.com/playlist?list=PLWFlMBumSLSYuuPFVlkXU4Jx6BbfpFzDf

In this video, I use the case of a Half Atwood Machine and Lagrange Multipliers to find the tension in the string.