A uniform disc of mass $M$ and radius $R$ is suspended in vertical plane from a point on its periphery. Its time period of oscillation is ........
A$2 \pi \sqrt{\frac{3 R}{g}}$
B$2 \pi \sqrt{\frac{R}{3 g}}$
C$2 \pi \sqrt{\frac{2 R}{3 g}}$
D$2 \pi \sqrt{\frac{3 R}{2 g}}$
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D$2 \pi \sqrt{\frac{3 R}{2 g}}$
d (d)
It is the case of a physical pendulum.
$T=2 \pi \sqrt{\frac{I_{\text {c.o.m. }}}{m g L_{\text {com }}}}$
$I_{\text {com }}=\frac{M R^2}{2}+M R^2=\frac{3}{2} M R^2$
$L_{\text {com }}=R$
$T=2 \pi \sqrt{\frac{3 R}{2 g}}$
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