A cylinder of mass m suspended by two strings wrapped around the cylinder one near each end, the free ends of the string being attached to hooks on the ceiling, such that the length of the cylinder is horizontal. From the position of rest , the cylinder is allowed to roll down as suspension strings unwind , calculate
(a) The downward linear acceleration of the cylinder
(b) The tension in the strings
(c) The time dependence of the instantaneous power developed by gravity