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AP Physics C: Mechanics
6.5 Rolling
AdvancedMCQConceptual22.3k
Angular velocity \(\omega\) as a function of time \(t\) for the rolling cylinder.
Angular velocity \(\omega\) as a function of time \(t\) for the rolling cylinder.
A uniform solid cylinder of mass \(M\) and radius \(R\) is launched up an incline of angle \(\theta\) and rolls without slipping, momentarily stops at time \(t_1\), and rolls back down to its launch position at time \(2t_1\). The positive rotational direction is defined such that the cylinder has a positive angular velocity (\(\omega > 0\)) during its ascent, as shown in the graph of angular velocity \(\omega\) versus time \(t\). Which of the following statements correctly relates the features of the graph to the static friction force exerted on the cylinder by the incline?

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