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, ai $$=$$ $$-g$$ $$sin$$ θ $$=$$ $$-g$$θat $$=$$ $$-gx(R-r)THE$$ SPHERE IS SLIDING BUT NOT ROLLING. Motion is S.H.M., with time periodT $$=$$ $$2$$$$π$$displacementacceleration $$=$$ $$2$$$$π$$$$xgx(R-r)$$ $$=$$ $$2$$$$π$$$$R-rg$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material