The disk, which has a mass of 20 kg, is subjected to the couple moment of M = (2u + 4) N

Chapter 18, Problem 18-9

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QUESTION:

The disk, which has a mass of 20 kg, is subjected to the couple moment of \(M = (2 \theta + 4) \ N \cdot m\), where \(\theta\) is in radians. If it starts from rest, determine its angular velocity when it has made two revolutions.

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QUESTION:

The disk, which has a mass of 20 kg, is subjected to the couple moment of \(M = (2 \theta + 4) \ N \cdot m\), where \(\theta\) is in radians. If it starts from rest, determine its angular velocity when it has made two revolutions.

ANSWER:

Step 1 of 4

Kinetic Energy

Since the disk starting from rest, the kinetic energy at position 1 is zero, and the rotational kinetic energy at position 2 is

Where  is the disk mass, and  is the radius of disk

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