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Physics: Yo-yo tension and average force on the string when the yo-yo turns around

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A yo-yo of mass M has an axle of radius b and a spool of radius R. Its moment of inertia can be taken to be MR^2/2 and the thickness of the string can be neglected. The yo-yo is released from rest.

a) What it the tension in the cord as the yo-yo descends and as it ascends?

b) The center of the yo-yo descends distance h before the string is fully unwound. Assuming that it reverses direction with uniform spin velocity, find the average force on the string while the yo-yo turns around.

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Problem

A yo-yo of mass M has an axle of radius b and a spool of radius R. Its moment of inertia can be taken to be MR^2/2 and the thickness of the string can be neglected. The yo-yo is released from rest.

a) What it the tension in the cord as the yo-yo descends and as it ascends?

b) The center of the yo-yo descends distance h before the string is fully unwound. ...

Solution Summary

The solution clearly defines the problem and the terms, and completes the solution including a graphic for better understanding about yo-yo tension.

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