A cylinder, of mass M = 50 g and radius R = 8 cm, has a rope of negligible mass wound around its periphery that hangs from a point O on a vertical wall, as can be seen in the attached figure. The cylinder is dropped from rest from a point slightly below O and rolls down the wall. Determine the following quantities at the instant in which the center of mass of the cylinder has lowered a height h = 50 cm from the initial position: a) The angular acceleration of the cylinder; b) The time elapsed since the start of the movement; c) The tension of the rope; d) The speed of the center of mass of the cylinder; e) The kinetic energy of the cylinder; and f) The angular momentum with respect to point O. explain all the steps. M R