A spool of thread consists of a cylinder of radius R1 with end caps of radius R2 as depicted in the end view shown in Figure P 10.85 . The mass of the spool, including the thread, is m, and its moment of inertia about an axis through its center is I . The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force 𝐓 acting to the right is applied to the free end of the thread. (a) Show that the magnitude of the friction force exerted by the surface on the spool
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