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20 Dec 2021 06:21:41 UTC
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Marble Rotating on Frictionless Table - Circular Orbits and Noises in its Rotation
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Prequel Video: https://youtu.be/7p2dY5oZAO4
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Today we once again take a look at a very curious problem in Lagrangian mechanics. Last time we've found out its equations of motion and today we want to find out, when our marble rotates in a closed stable circular orbit. Also, what happens if we touch it a bit while rotating, giving it a small nudge? Will the orbit still be stable and if so, what is its frequency and will it result in a harmonic oscillator? Let's find out! =D Video sponsored by RAID: Shadow Legends btw :)

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0:00 Intro
4:34 Radius of Circular Orbit
8:43 Noise in the Movement
...
https://www.youtube.com/watch?v=elJCQxNG8NU
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