Uploaded September 2023 | Updated September 2026, 2 weeks ago

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Lagrangian Mechanics is a formulation of classical mechanics and typically taught in undergraduate physics and engineering courses on advanced dynamics. This is a calculus based approach to the physics and this video I am going to show you what the Lagrangian is and solve some Lagrangian Mechanics problems using the Euler Lagrange Equation. We initially find the Lagrangian and differentiate for the very simple system of a particle in a gravitational field, then for simple harmonic motion and then finally for a pendulum.
Chapters:
00:00 The Lagrangian
01:34 Free Falling Under Gravity
03:38 Simple Harmonic Motion
05:20 Pendulum Equation of Motion

I hope this video is very useful!
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