The uniform disk of radius R = 0.8 ft and weight W = 20 lb is pin-connected to the link AB...

The uniform disk of radius R = 0.8 ft and weight W = 20 lb is pin-connected to the link AB and is pulled on its periphery by a force P via a rope that is wrapped around the disk. The coefficient of kinetic friction between the disk and the surface on which it sits is μk = 0.5. Neglect the mass of link A B and assume that μs is insufficient to prevent slipping.

For P = 15 lb and θ = 0°, determine the angular acceleration of the disk αd and the time it takes to achieve an angular velocity of ωd = 35 rad/s, assuming that the disk starts from rest.

Figure P7.31