A solid cylinder of radius is moving to the right on a horizontal surface with…

PHYSICS · Single correct · 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}

is moving to the right on a horizontal surface with translational speed

1.5\,\text{m/s}

and angular speed

5.0\,\text{rad/s}

(clockwise when viewed from the right). Which statement correctly characterizes its motion at this instant? (a)

\text{The cylinder rolls without slipping because }v=r\omega\text{ (to two significant figures).}

(b)

\text{The cylinder is slipping; the contact point slides backward on the surface because }v>r\omega.

(c)

\text{The cylinder is slipping; the contact point slides forward on the surface because }v>r\omega.

(d)

\text{The cylinder is slipping; the contact point slides backward on the surface because }r\omega = 2.5\,\text{m/s} > v.