PKRB: Impulse and Momentum - General Questions (2)

The 50-kg cylinder has an angular velocity of 30 rad/s when it is brought into contact with the horizontal surface at C. If the coefficient of friction is _c = 0.2, determine how long it takes for the cylinder to stop spinning. What force is developed at the pin A during this time? The axis of the cylinder is connected to two symmetrical links. (Only AB is shown.) For the computation, neglect the weight of the links.

Gear A has a weight of 1.5 lb, a radius of 0.2 ft, and a radius of gyration of k_o = 0.13ft. The coefficient of friction between the gear rack B and the horizontal surface is  = 0.3. If the rack has a weight of 0.8 lb and is initially sliding to the left with a velocity of (v_B)₂ = 8 ft/s to the left. Neglect friction between the rack and the gear and assume that the gear exerts only a horizontal force on the rack.

The uniform rod AB has a weight of 3 lb and is released from rest without rotating from the position shown. As it falls, the end A strikes a hook S, which provides a permanent connection. Determine the speed at which the other end B strikes the wall at C.