A solid cylinder and a thin hoop have equal mass and roll without slipping at the…
PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems
Problem
A solid cylinder and a thin hoop have equal mass and roll without slipping at the same translational speed along a horizontal surface. Which statement correctly compares the fraction of each object’s total kinetic energy that is rotational?
(a) The cylinder’s rotational fraction is greater than the hoop’s.
(b) Neither object has rotational kinetic energy because their centers of mass move at the same speed.
(c) The hoop’s rotational fraction is greater than the cylinder’s.
(d) The hoop and the cylinder have the same rotational fraction.