The 60-kg uniform rectangular plate rotates in a vertical plane around point A. Force P is being applied to point C on cable BC to lift the plate. At the instant shown the angular velocity of the plate is 0.8 rad/s counterclockwise and the angular acceleration is 0.5 rad/s^2 counterclockwise. Find force P needed to get the specified angular acceleration, and find the magnitude of the reaction force at point A.