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TORQUE, ROTATION AND TRANSLATION
A Yo-Yo of mass m has an axle of radius b and a spool of radius R . Its moment of inertia about the center can be taken to be I=(1/2)mR2 and the thickness of the string can be neglected. The Yo-Yo is released from rest. You will need to assume that the center of mass of the Yo-Yo descends vertically, and that the string is vertical as it unwinds.
Find the magnitude of the average tension in the string over the course of the Yo-Yo reversing its direction at the bottom of its descent (see figure below).
Express your answer in terms of m, b, R, l and acceleration due to gravity g (enter m for m, b for b, R for R, g for g and pi for π).
A Yo-Yo of mass m has an axle of radius b and a spool of radius R . Its moment of inertia about the center can be taken to be I=(1/2)mR2 and the thickness of the string can be neglected. The Yo-Yo is released from rest. You will need to assume that the center of mass of the Yo-Yo descends vertically, and that the string is vertical as it unwinds.
Find the magnitude of the average tension in the string over the course of the Yo-Yo reversing its direction at the bottom of its descent (see figure below).
Express your answer in terms of m, b, R, l and acceleration due to gravity g (enter m for m, b for b, R for R, g for g and pi for π).
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