14. A yo-yo has a moment of inertia that can be modeled by I = ½ MR2. When a yo-yo is “sleeping” its axle, radius r, is spinning inside a loop at the end of the string. Suppose the yo-yo is initially spinning with a period T and is “sleeping” in a loop with coefficient of friction μk. Derive expressions for the time t it takes for the yo-yo to completely stop and the number of revolutions n it will make during this time.
14. A yo-yo has a moment of inertia that can be modeled by I = ½ MR2. When a yo-yo is “sleeping” its axle, radius r, is spinning inside a loop at the end of the string. Suppose the yo-yo is initially spinning with a period T and is “sleeping” in a loop with coefficient of friction μk. Derive expressions for the time t it takes for the yo-yo to completely stop and the number of revolutions n it will make during this time.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 50P: A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A...
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14. A yo-yo has a moment of inertia that can be modeled by I = ½ MR2. When a yo-yo is “sleeping” its axle, radius r, is spinning inside a loop at the end of the string. Suppose the yo-yo is initially spinning with a period T and is “sleeping” in a loop with coefficient of friction μk. Derive expressions for the time t it takes for the yo-yo to completely stop and the number of revolutions n it will make during this time.
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