Video 1. Lagrangian Mechanics Example: The Compound Atwood Machine by Michel van Biezen (2017) Source. Part of lagrangian mechanics lectures by Michel van Biezen (2017).
The simplest harmonic oscillator system.
Video 1. Pendulum Waves by Harvard Natural Sciences Lecture Demonstrations (2010) Source. Holy crap. compares Lagrangian mechanics equation vs the direct x/y coordinate equation.

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