A solid sphere

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

Problem

A solid sphere, a solid cylinder, and a thin hoop—each of equal mass

m

and radius

r

—are released simultaneously from rest at the same height on an identical rough incline. Which of the following ranks the magnitudes of their linear accelerations

a_{\text{sphere}},\,a_{\text{cyl}},\,a_{\text{hoop}}

from greatest to least? (a)

a_{\text{cyl}}>a_{\text{sphere}}>a_{\text{hoop}}

(b)

a_{\text{sphere}}=a_{\text{cyl}}=a_{\text{hoop}}

(c)

a_{\text{sphere}}>a_{\text{cyl}}>a_{\text{hoop}}

(d)

a_{\text{hoop}}>a_{\text{cyl}}>a_{\text{sphere}}

Related theory

Moment of Inertia
Rolling Motion
Rotational dynamics about a fixed axis

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