#Physics #Lagrangian #Mechanics

Sorry about the wait! I hope the audio is bearable. The voiceover is by far the hardest part to get right and I'm still experimenting with how to make it better. I'm also hoping to be able to get a new mic soon.
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In this video, we introduce the ideas of degrees of freedom and generalized coordinates, before deriving equations of motion for a cylindrical pendulum.
For the best viewing experience, make sure to watch in full-screen and with 4K (2160p) resolution.

Music in the background from [ Ссылка ]
Blackboard image by Gerd 'geralt' Altmann at [ Ссылка ]

00:00 Quick recap
00:32 Degrees of freedom for a rigid body
04:24 Choosing our coordinates
05:50 Deriving the Lagrangian
10:46 Applying Euler-Lagrange
12:00 Outro discussion

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