A hoop of mass $ M $ and radius $ R $ is hung from a support fixed in a wall. Its moment of inertia about the support is

Question

A hoop of mass $ M $ and radius $ R $ is hung from a support fixed in a wall. Its moment of inertia about the support is, $ 2 \mathrm{MR}^{2} $, $ 3 \mathrm{MR}^{2} $, $ 4 \mathrm{MR}^{2} $, $ 6 \mathrm{MR}^{2} $

MARKS App · Accepted Answer

A hoop is a circular ring ∴ I 0 = MR 2 By theorem of parallel axes, I = I 0 + MR 2 = MR 2 + MR 2 = 2 MR 2

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