A solid cylinder of radius moves across a horizontal floor with a center-of-mass…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A solid cylinder of radius

0.25\,\text{m}

moves across a horizontal floor with a center-of-mass speed of

1.8\,\text{m}\!\cdot\!\text{s}^{-1}

while its angular speed is

5.0\,\text{rad}\!\cdot\!\text{s}^{-1}

. Determine whether the cylinder is rolling without slipping or slipping relative to the floor, and state your reasoning in one sentence.