In the Drawing Shown, the Large Wheel Has a Radius

Multiple Choice

In the drawing shown, the large wheel has a radius of 7.1 m. A rope is wrapped around the edge of the wheel and a 7.6 kg-box hangs from the rope. A smaller disk of radius 1.38 m is attached to the wheel. A rope is wrapped around the edge of the disk as shown. An axis of rotation passes through the center of the wheel-disk system. What is the value of the mass M that will prevent the wheel from rotating?

A) 34 kg
B) 12 kg
C) 17 kg
D) 39 kg
E) 46 kg