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AP Physics C: Mechanics
6.5 Rolling
6.1 Rotational Kinetic Energy
IntermediateMCQMathematicalConceptual22.1k
Two identical cylinders released from rest from height \(H\) on identical inclines.
Two identical cylinders released from rest from height \(H\) on identical inclines.
Two identical uniform solid cylinders, A and B, are released from rest from the same vertical height at the top of two identical inclined planes of angle \(\theta\). Cylinder A rolls down its incline without slipping, while cylinder B slides down its incline on a frictionless surface without rotating.

Which row in the table correctly compares the center-of-mass speeds, \(v_A\) and \(v_B\), of the cylinders at the bottom of the inclines and their elapsed travel times, \(t_A\) and \(t_B\), to reach the bottom?

OptionCenter-of-Mass Speed at BottomTravel Time to Reach Bottom
(A)\(v_A < v_B\)\(t_A < t_B\)
(B)\(v_A > v_B\)\(t_A < t_B\)
(C)\(v_A < v_B\)\(t_A > t_B\)
(D)\(v_A > v_B\)\(t_A > t_B\)

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