Problem

The device shown is designed to remotely rotate a video camera C by counterrotating the tw...

The device shown is designed to remotely rotate a video camera C by counterrotating the two equal masses m via an internal motor that couples the masses and the camera. Assume that the system is mounted on bearings that allow the counterrotating masses and the camera to rotate freely on the vertical mounting post. Model the video camera as two particles, each weighing 3.1 lb and each at a distance of 4.1 in. from the rotation axis. Design the radius of the counterrotating masses, their mass, and their maximum angular velocity so that the angular velocity of the camera never exceeds 10 rpm and so that the camera rotates 90° when the masses have rotated 360°. Treat the counterrotating masses as particles, and neglect the mass of the rod on which they are mounted.