1. The circular disk of 200-mm radius has a mass of 30 kg with a centroidal radius of gyration of k = 175 mm and has a concentric circular groove of 75 mm cut into it. The disk rolls without slipping on the horizontal surface. If a steady force of T=150 N is applied at an angle of 0=35° to a cord wrapped around the groove as shown, determine a) The angular acceleration of the disk. Give both the magnitude and the direction (CW or CCW) of the rotation. b) The acceleration a of the mass center of the disk. Give both the magnitude and the direction (left or right) of the acceleration. c) The minimum coefficient of friction for which the disk will not slip. 200 mm 75 mm G T