Deriving the Cylinder's Moment of Inertia

This is the second video of a derivation trilogy, all about the Moment of Inertia!
While in the first video we explained *what is* the Moment of Inertia and we derived it for a thin rod, in this second video we are going to derive it for a cylinder, and in the third one for a solid sphere.
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Here's the first video:

https://www.youtube.com/watch?v=iLvFDx2Vz8w
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