3. (20pts) A uniform circular disk of mass m and radius r has a total spin ! = 20 about a massless rod of length / = 2r which lies along its symmetry axis. The rod is supported without friction at the fixed- point O and the disk is precessing uniformly with 0 = 30. a) (12pts) Solve for the slower precession rate. b) (5pts) Determine the angular momentum along the Z axis and that along the axis of symmetry. c) (3pts) What would be the slower precession rate if the disk uniformly precessed with 0 = 0? 1Z Zaxis of symmetry. 24 - D (along symmetry axis) transverse axis I= Imr 2