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AP Physics 1
6.4 Conservation of Angular Momentum
6.3 Angular Momentum and Angular Impulse
5.2 Connecting Linear and Rotational Motion
Multi-Unit
IntermediateMCQMathematicalConceptual20.4k
Two pulley setups side by side on a white background. Left setup: a small circle with medium-gray fill and a solid black dot at its center, with the letter X centered just above it. A thin vertical line (string) drops from the circle's leftmost edge straight down to a small upright rectangle with light-gray fill (a block) hanging below. To the left of the string, a separate vertical arrow points downward, about half the string's length. Right setup: the same arrangement but with a circle about one and a half times the left circle's diameter, labeled Y centered above it. Its string drops from its leftmost edge to a slightly larger upright light-gray rectangle hanging lower on the page. A downward-pointing vertical arrow sits to the left of this string as well. No supports, ceilings, axes, or other labels, lines, or text appear.
Small Pulley X and larger Pulley Y, each with a hanging block that accelerates downward.
Pulleys \( X \) and \( Y \) are each attached to a block by a string that wraps around the pulley. Both blocks are released and have the same linear acceleration \( a \). As the blocks fall, the pulleys rotate about their centers. Pulley \( Y \) has a larger radius than Pulley \( X \). How does the angular acceleration \( \alpha_X \) of Pulley \( X \) compare to the angular acceleration \( \alpha_Y \) of Pulley \( Y \)?

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