A solid, uniform disk of mass 60.5 kg and radius 0.250 m rolls down a ramp of length 5.20 m which makes an angle of 12.1° with the horizontal. The disk begins from rest from the top of the ramp.
(i) Determine the speed of the disk's center of mass when it arrives at the bottom of the ramp.
(ii) Determine the angular speed of the disk at the bottom of the ramp.