Are the parallel and perpendicular axes theorem for determination of moment of inertia valid only for bodies of uniform mass density?
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No. These theorems apply for any mass distribution - continuous, discrete, uniform density, non-uniform density. See derivations in wikipedia for parallel and perpendicular theorems. Note that density does not enter into the derivation, and no assumption of uniform mass distribution is made.
answered Oct 8, 2016 at 17:18
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$\begingroup$ I read Parallel axis theorem non-uniform density and intially answered that question by mistake! $\endgroup$ Oct 8, 2016 at 17:25