Question

A large rimmed hoop with a bowling ball inside it rolls down an incline plane. Identify the statements which best describes the relationship between the hoop and the bowling ball?

• A. Their angular accelerations are the same
• B. Their angular displacements are the same
• C. Their angular velocities are the same
• D. Their tangential displacements are the same
• E. Their centripetal accelerations are the same

Answer 1

Answer: (D)

Their tangential displacements are the same

The bowling ball has a smaller radius than the hoop in which it is rolling. All the angular quantities of the bowling ball are larger than those of the hoop. They will both travel the same linear distance, which is the tangential displacement.