An elastic spherical ball of mass M and radius a moving with velocity v strikes a rigid

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An elastic spherical ball of mass M and radius a moving with velocity v strikes a rigid surface at an angle θ to the normal. Assuming it skids while in contact with the surface, the tangential frictional force being a constant fraction μ of the normal reaction force, show that
(a) The ball is reflected at an angle Ф to the normal where |tan Ф — tan Ф| = 2μ,
(b) The angular velocity of the rebounding ball changes by an amount
5μv/a cos θ
You may assume that the component of velocity perpendicular to the surface is reversed in direction without change of magnitude.

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