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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.1 Rotational Kinematics
1.3 Representing Motion
Multi-Unit
IntermediateMCQGraphicalConceptual25.1k
A schematic diagram showing a circular disk of radius R mounted on a central horizontal axle perpendicular to the disk face. A thin vertical line representing a string leaves the right outer edge of the disk and hangs downward, supporting a small rectangular block labeled m. A curved arrow around the central axle represents friction opposing rotation and is labeled \tau_f. A dashed line from the center of the disk to its top edge is labeled R. No other labels, lines, text, or axes appear.
A disk with axle friction spun by a hanging block.
A uniform disk of radius \(R\) is mounted on a horizontal axle that exerts a constant frictional torque \(\tau_f\). A block of mass \(m\) suspended from a light string wrapped around the disk is released from rest at time \(t = 0\). At time \(t_1\), the string detaches from the disk, and the disk subsequently slows to rest at time \(t_2\) due to the frictional torque. Which of the following graphs best represents the angular velocity \(\omega\) of the disk as a function of time \(t\) from \(t = 0\) to \(t = t_2\)?

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