A solid, uniform disk having radius 0.250 m and mass 54.5 kg rolls down the ramp of length 4.20 m which makes an angle of around 17.7° with the horizontal. The disk begins from rest from the top of the ramp.
(i) Determine the speed of the center of mass of disk if it reaches the bottom of the ramp.
(ii) Determine the angular speed of the disk at the bottom of the ramp.