EXAMPLE PROBLEM ON TORQUE AND ANGULAR ACCELERATION: The Unwinding Cable
Question
A cable is wrapped around a uniform, solid cylinder of radius 'R' and
mass 'M'. The cylinder rotates about its axis, and the cable unwinds without
stretching or pulling. If the cable is pulled with a force of 'F' Newtons,
what is its acceleration?
Hints
For a uniform, solid cylinder of radius R and mass M, the
moment of inertia is:
We also learned in this section that

Figure 1 Diagram of the cable unwinding from a cylinder. 