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For questions about problems related to physics that involve evaluating integrals. Purely mathematical questions should be asked at math.SE.
11
votes
Why doesn't this way of calculating the moment of inertia of a sphere work?
That's a good, well-stated question and the premise is indeed correct: your independent approach has failed. It fails because you're using $r$ for the distance of the mass of a spherical shell of radi …
2
votes
Accepted
Center-of-mass and relative coordinate integral transformation
It looks like you have a pair of 3D integration variables in spherical coordinates, albeit ones in which you've integrated out the angular coordinates. …