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AP Physics 1
6.5 Rolling
6.1 Rotational Kinetic Energy
IntermediateMCQProportional Analysis17.1k
A disk and a hoop rolling down an incline of height h.
A disk and a hoop rolling down an incline of height h.
A solid disk and a thin hoop, both with mass \( M \) and radius \( R \), are released from rest at the top of an incline of height \( h \). Both objects roll down the incline without slipping. The rotational inertia of the disk is \( I_{disk} = \dfrac{1}{2}MR^2 \) and the rotational inertia of the hoop is \( I_{hoop} = MR^2 \). What is the ratio of the translational speed of the center of mass of the disk to that of the hoop, \( \dfrac{v_{disk}}{v_{hoop}} \), when they reach the bottom of the incline?

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