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Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli
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(a) A yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter

Chapter 8, Problem 72GP

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QUESTION:

Problem 72GP

(a) A yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter 0.075 m, joined by a (concentric) thin solid cylindrical hub of mass 0.0050kg and diameter 0.010 m. Use conservation of energy to calculate the linear speed of the yo-yo when it reaches the end of its 1.0-m-long string, if it is released from rest. (b) What fraction of its kinetic energy is rotational?

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QUESTION:

Problem 72GP

(a) A yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter 0.075 m, joined by a (concentric) thin solid cylindrical hub of mass 0.0050kg and diameter 0.010 m. Use conservation of energy to calculate the linear speed of the yo-yo when it reaches the end of its 1.0-m-long string, if it is released from rest. (b) What fraction of its kinetic energy is rotational?

ANSWER:

Solution 72GP

a.)

Step 1 of 5

We have to calculate the linear speed of the yo-yo when it reaches the end of its 1.0-m-long string, if it is released from rest.

The linear speed of the yo-yo can be calculated using conservation of energy. The initial gravitational potential energy of the yo-yo is converted into rotational and translational kinetic energy.

 

represents initial energy and represents the final energy.

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