A uniform rod of mass $m$ and length $I$ is suspended about its end, Time period of small angular oscillations is ..........
A$2 \pi \sqrt{\frac{l}{g}}$
B$2 \pi \sqrt{\frac{2 l}{g}}$
C$2 \pi \sqrt{\frac{2 l}{3 g}}$
D$2 \pi \sqrt{\frac{I}{3 g}}$
Medium
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C$2 \pi \sqrt{\frac{2 l}{3 g}}$
c (c)
This is the case of a physical pendulum.
$T=2 \pi \sqrt{\frac{I_{\text {com }}}{m g L_{\text {com }}}}$
$L_{\text {com }}=\frac{L}{2} I_{ com }=\frac{m L^2}{3}$
$T=2 \pi \sqrt{\frac{2 l}{3 g}}$
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