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AP Physics 1
5.6 Newton’s Second Law in Rotational Form
5.4 Rotational Inertia
AdvancedMCQProportional AnalysisConceptual25.2k
Comparison of a solid disk pulley and a thin hoop pulley system.
Comparison of a solid disk pulley and a thin hoop pulley system.
A block of mass \(M\) is suspended from a light string that is wound around a pulley of mass \(M_P\) and radius \(R\). The pulley is free to rotate about a frictionless, horizontal axle through its center. In Scenario 1, the pulley is a uniform solid disk with rotational inertia \(I_1 = \dfrac{1}{2}M_P R^2\). In Scenario 2, the pulley is a thin hoop with rotational inertia \(I_2 = M_P R^2\). In both scenarios, the block is released from rest and the string does not slip. Which of the following correctly compares the acceleration \(a\) of the block and the tension \(T\) in the string in Scenario 2 to their values in Scenario 1?

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