A pointlike body of mass m made of lead is fixed inside a homogeneous solid sphere of radius R and mass m at distance R/2 from the center of the sphere. This body is placed on a horizontal rough surface. Find the period of small oscillations of the sphere around its equilibrium position. (The sphere rolls without slipping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR2/5.)

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