A uniform thin disk with a 6-in. diameter is attached to the end of a rod AB of negligible mass that is supported by a ball-and-socket joint at point A. Knowing that the disk is spinning about its axis of symmetry AB at the rate of 2400 rpm in the sense indicated and that AB forms an angle β = 45° with the vertical axis AC, determine the two possible rates of steady precession of the disk about the axis AC'