Question

A 10 kg solid sphere of radius r = 0.8 m is rolling without slipping on a horizontal rough surface with 8 m/s. The force applied by the right half of the sphere on the left half is 30x Newton. Find the value of x.

Answer 1

0

Answer 2

Since the sphere is rolling without slipping at a constant velocity, there is no acceleration. This implies that the net force acting on the sphere is zero. Consequently, the net internal force across any section of the sphere, including the force applied by the right half on the left half, must also be zero. Therefore, we set the given force expression equal to zero: 30x = 0, which yields x = 0.