One end of a uniform rod of mass m and length l is clamped. The rod lies on a smooth horizontal surface and rotates on it about the clamped end at a uniform angular velocity el The force exerted by the clamp on the rod has a horizontal component

(a) m w2

(b) zero

(c) mg

(d)1/2 mw2l


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(d)1/2 mw2l.

Explanation: 

Since the rod rotates on the horizontal surface, the horizontal component of the force applied by the clamp is the centripetal force = mω²r = mω²(l/2) = ½mω²l.