A 230 kg beam 2.4 m in length slides broadside down the ice with a speed of 22 m/s. A 65 kg man at rest grabs one end as it goes past and hangs on as both he and the beam go spinning down the ice. Assume frictionless motion.

a) How fast does the center of mass of the system move after the collision?
b) With what angular velocity does the system rotate about its center of mass?