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A ring of radius r is suspended from a point on its circumference. Determine its angular frequency of small oscillations.

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A ring of radius r is suspended from a point on its circumference. Determine its angular frequency of small oscillations.

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It is a physical pendulum the time period of which is 

Here, I = moment of inertia of the ring about point of suspension = mr2 + mr2 = 2mr2 

and l = distance of point of suspension from centre of gravity

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