- #1
namkot
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How would one calculate the moment of inertia of a solid sphere (of uniform density, rotating about the axis through its center)? I know it's [tex]2MR^{2}/5[/tex] but I got [tex]3MR^{2}/5[/tex] when I attempted to derive it (just for fun, because I find rotational dynamics rather interesting). I would prefer a derivation that uses a single integral, which should be very much feasible.
While I'm on the subject, I would like to know how to derive the moment of inertia of a hollow sphere with an infinitely thin shell (again of uniform density, rotating about the axis through its center).
While I'm on the subject, I would like to know how to derive the moment of inertia of a hollow sphere with an infinitely thin shell (again of uniform density, rotating about the axis through its center).