Problem

The body of the satellite shown has a weight that is negligible with respect to the two sp...

The body of the satellite shown has a weight that is negligible with respect to the two spheres A and B that are rigidly attached to it, which weigh 150 lb each. The distance between A and B from the spin axis of the satellite is R = 3.5 ft. Inside the satellite there are two spheres C and D weighing 4 lb mounted on a motor that allows them to spin about the axis of the cylinder at a distance r = 0.75 ft from the spin axis. Suppose that the satellite is released from rest and that the internal motor is made to spin up the internal masses at a constant time rate of 5.0 rad/s2 for a total of 10 s. Treating the system as isolated, determine the angular speed of the satellite at the end of spin-up.