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AP Physics 1
6.5 Rolling
6.1 Rotational Kinetic Energy
5.2 Connecting Linear and Rotational Motion
Multi-Unit
AdvancedMCQMathematicalConceptual13.8k
Yo-yo of mass \(M\) with axle radius \(r\) and outer radius \(R\) descending a distance \(h\).
Yo-yo of mass \(M\) with axle radius \(r\) and outer radius \(R\) descending a distance \(h\).
A yo-yo of total mass \(M\) and rotational inertia \(I\) about its central axis consists of a narrow axle of radius \(r\) flanked by two outer disks of radius \(R\). A light string is wrapped tightly around the axle, and the top end of the string is held fixed in place. The yo-yo is released from rest and descends vertically as the string unwinds without slipping. In terms of \(M\), \(I\), \(r\), \(h\), and fundamental constants, which of the following expressions gives the rotational kinetic energy of the yo-yo after its center of mass has fallen a vertical distance \(h\)?

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