Consider a hoop of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?
A) Translational kinetic energy is larger.
B) Rotational kinetic energy is larger.
C) Both are equal.
D) You need to know the speed of the hoop to tell.
E) You need to know the acceleration of the hoop to tell.

Question

Quizplus · Accepted Answer

For a hoop rolling without slipping, the translational kinetic energy and rotational kinetic energy are equal because the moment of inertia for a hoop is MR^2, and the condition for rolling without slipping relates the translational and rotational velocities.

Consider a Hoop of Radius R and Mass M Rolling