A uniform rod of length $L$ is free to rotate in a vertical plane about a fixed horizontal axis through $B$. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle $\theta $ its angular velocity $\omega $ is given as
A uniform rod of length $L$ is free to rotate in a vertical plane about a fixed horizontal axis through $B$. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle $\theta $ its angular velocity $\omega $ is given as
- A
$\sqrt {\frac{{6g}}{L}} \,\sin \,\theta $
- B
$\sqrt {\frac{{6g}}{L}} \,\sin \,\frac{\theta }{2}$
- C
$\sqrt {\frac{{6g}}{L}} \,\cos \,\frac{\theta }{2}$
- D
$\sqrt {\frac{{6g}}{L}} \,\cos \,\theta $
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