A solid cylinder has a thin string wrapped several times around its circumference. A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release? <br...

A very thin hollow cylinder of outer radius R and mass m with moment of inertia I cm about the center of mass starts from rest and moves down an incline tilted at an angle from the horizontal. The center of mass of the cylinder has dropped a vertical distance h when it reaches the bottom of the incline. Let g denote the gravitational constant.