Question

A disk with a c value of 1/2, a mass of 4 kg, and radius of 0.5 meters, rolls without slipping down an incline with has a length of 8 meters and angle of 30 degrees. At the top of the incline the disk is spinning at 32 rad/s. How fast is the disk spinning (the center of mass) at the bottom of the incline in rad/s?

Answer 1

The disk is rolling without slipping ,

Initial energy of disk at the top of inclined plane is

Final energy of disk at the bottom of inclined plane is

Conserving the energy of disk at the two positions,