A $$25$$ kg uniform solid sphere with a $$20$$ cm radius is suspended by a vertical wire such that the point of suspension is vertically above the centre of the sphere. A torque of $$0$$. $$l0$$ $$N-m$$ is required to rotate the sphere through an angle of $$1.0$$ rad and then maintain the orientation. If the sphere is then released, its time period of the oscillation will be:

Question

Infinity Learn · Accepted Answer

τ $$=$$ $$-k$$θ$$0.1$$ $$=$$ $$-k(1.0)$$ where k is torsional constant of the wire.k $$=$$ $$110T$$ $$=$$ $$2$$$$π$$$$25$$×$$25$$×$$(.2)2110$$ $$=$$ $$2$$$$π$$$$10$$×$$.2$$×$$.2$$×$$10$$ $$=$$ $$4$$π $$sec$$

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