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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight
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The 5.0 kg, 60-cm-diameter disk in FIGURE rotates on an

Chapter 12, Problem 74P

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QUESTION:

The \(5.0\ kg, 60-cm\)-diameter disk in Figure P12.74 rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released.

a. What is the cylinder’s initial angular acceleration?

b. What is the cylinder’s angular velocity when it is directly below the axle?

Equation Transcription:

Text Transcription:

5.0 kg, 60-cm

Questions & Answers

QUESTION:

The \(5.0\ kg, 60-cm\)-diameter disk in Figure P12.74 rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released.

a. What is the cylinder’s initial angular acceleration?

b. What is the cylinder’s angular velocity when it is directly below the axle?

Equation Transcription:

Text Transcription:

5.0 kg, 60-cm

ANSWER:

Step 1 of 3

Part (a)

The expression for the moment of inertia of a disk is given as:

                         

For , ,

                         

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