I would like to take on the mathematical exercise of deriving expressions for the moment of inertia of higher dimensional solids. But could there be any real world utility to it? If yes, which fields and perhaps pray elaborate on the how. If no, why not?
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Related: https://physics.stackexchange.com/q/9864/2451 – Qmechanic Jul 27 '22 at 15:07
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Covariances of more than three random variables in statistics are higher dimensional moments of inertia. – Connor Behan Jul 27 '22 at 16:01
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Related, at least for one of the simpler cases. Moment of inertia of an n dimensional sphere – Triatticus Jul 27 '22 at 16:35