Using a forked rod, a smooth cylinder C having a mass of 0.5 kg is forced to move along the vertical slotted path r = 0.5? m, where ? is in radians. If the angular position of the arm is ? =(5t^2) rad, where t is in seconds, determine the magnitude of the force of the rod on the cylinder and the magnitude of the normal force of the slot on the cylinder at the instant t = 2s. The cylinder is in contact with only one edge of the rod and slot at any instant.