Please answer this question and show all of your work. Thank you!!

A ball of clay with a mass of 2 kg with an initial velocity of 3.2 m/s strikes and sticks to a 1.0 m thin rod at the rods center of mass. The rod is hung vertically by a hinge and has a mass of 5 kg. (show all work for solutions) a)Determine the magnitude of the angular velocity of the clay-rod system immediately after the collision. b) Determine the maximum vertical displacement of the rodball system