A solid, uniform disk of radius $0\mathrm{.}250$ m and mass $55\mathrm{.}0$ kg rollsdown a ramp of length $450$ m that makes an angle of $15\mathrm{.}0\backslash$deg with the horizontal. The disk starts from rest from the top ofthe ramp. Find $($a$)$ the speed of the disk's center of mass whenit reaches the bottom of the ramp and $($b$)$ the angular speedof the disk at the bottom of the ramp.