Question
Find moment of inertia about axis $OA$
✓
Answer
$\Sigma \mathrm{I}=\mathrm{mr}_{1}^{2}+\mathrm{mr}_{2}^{2}+\ldots \ldots \ldots+\mathrm{mr}_{n}^{2}$
$=m \ell^{2}+m(2 \ell)^{2}+\ldots \ldots+m(n \ell)^{2}$
$\Rightarrow \mathrm{m} \ell^{2}\left[1^{2}+2^{2}+\ldots \ldots \mathrm{n}^{2}\right]$
$=\frac{m \ell^{2}}{6} n(n+1)(2 n+1)$
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