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A uniform sphere of mass m and radius R ...

A uniform sphere of mass `m` and radius `R` is placed on a rough horizontal surface. The spher is struck horizontally at a height h from the floor. Show that the sphere rolls without slipping with a constant velocity, when `h = 7R//5`.

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A uniform sphere of mass m and radius R is placed on a rough horizontal surface [Fig.] The sphere is struck horizontally at a hight h from the floor. Match the following : (a) h = R//2 (i) Sphere rolls without slipping with a constant velocity and no loss of energy. (b) h = R (ii) Sphere spins clockwise, loses energy by friction. (c ) h = 3R//2 (iii) Sphere spins anti-clockwise, loses energy by friction. (d) h = 7R//5 (iv) Sphere has only a translational motion, looses energy by friction.

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