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A ring of mass m and radius a is connected to an inextensible string which

A ring of mass m and radius a is connected to an inextensible string which passes over a frictionless Pulley. The other end of the string is connected to upper end of a naked massless spring of spring constant k. The lower end of the spring is fixed as shown.If horizontal position of the ring is in Equilibrium position,then find the time period of small oscillations of the ring.

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