A cotton reel is made up of a hub of radius a and two end caps of radius b. The mass of the complete reel is m and its moment of inertia about its longitudinal axis is I. The reel rests on a perfectly rough table (so that only rolling motion is possible) and a tension T is applied to the free end of the cotton wrapped around the hub as shown in figure. In what direction does the reel begin to move? Find the frictional force exerted by the table and the direction in which itacts.

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T