A sphere of radius r is kept on a concave mirror of radius of curvature R. The arrangement is kept on a horizontal table (the$$ surface of concave mirror is frictionless and sliding not $$rolling). If the sphere is displaced from its equilibrium position and left, then it executes S.H.M. The period of oscillation will be

Question

Infinity Learn · Accepted Answer

Tangential acceleration,  $$at=$$−gsinθ$$=$$−gθ $$at=$$−$$gx(R$$−$$r)Motion$$ is S.H.M., with time period $$T=2$$$$π$$$$displacementacceleration=2$$$$π$$$$xgx(R$$−$$r)=2$$$$π$$R−rg

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