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A uniform semicircular ring of mass m an...

A uniform semicircular ring of mass m and radius r is hinged at end A so that it can rotate freely about end A in the vertical plane as shown in the figure. Calculate angle made by line AB with vertical in equilibrium position and time period of small oscillation of ring.

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`tan^(-1) ((2)/(pi)), 2pi sqrt((2pi r)/(g sqrt(pi^(2) + 4)))`
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