Question

The moment of inertia of a thin uniform rod of length $l$ and mass $m$ about an axis passing through about an axis passing through a point at distance $l/4$ from the centre $O$ and at an angle $60$ degrees to the rod is?

Answer 1

$MI$ about an axis passing through $0$ and inclined at $60°$

$=\frac{m{l}^2{sin}^{2}60°}{12}=\frac{m{l}^2}{16}$

$MI$ about an axis passing through $A$and inclined at $60°$

$=\frac{m{l}^2}{16}+m{\left(\frac{l}{4}\right)}^2=\frac{m{l}^2}{8}$