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AP Physics C: Mechanics
6.2 Torque and Work
3.5 Power
Multi-Unit
IntermediateMCQConceptual16.5k
A side-view diagram of a cylindrical spool mounted horizontally on a central axle supported by two vertical ground stands. On the left end of the horizontal axle, a rectangular enclosure is labeled Motor. The spool consists of two thin circular outer flanges and a central cylindrical drum. A thin single line representing thread extends horizontally to the right from the bottom edge of the central drum. A curved rotation arrow is positioned above the top surface of the spool, curling over the top from right to left, labeled \(\omega\). A curved arrow next to \(\omega\) curls in the same direction, labeled \(\alpha\). The axle is depicted with dashed centerline segments indicating the axis of rotation. No other labels, lines, text, or axes appear.
Motorized spool winding thread on a horizontal frictionless axle.
A motor delivers a constant mechanical power \(P_0\) to a spool of fixed rotational inertia \(I\) that rotates about a frictionless horizontal axle. As the spool winds thread of negligible mass from rest, an electronic sensor records that the spool's angular acceleration decreases as its angular speed increases. Which of the following provides the correct physical explanation for why the angular acceleration decreases?

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