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The object shown in can be rotated in three different

Chapter 10, Problem 85GP

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QUESTION:

The object shown in Figure 10–26 can be rotated in three different ways: case 1, rotation about the x axis; case 2, rotation about the y axis; and case 3, rotation about the z axis. Rank these three cases in order of increasing moment of inertia. Indicate ties where appropriate.

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QUESTION:

The object shown in Figure 10–26 can be rotated in three different ways: case 1, rotation about the x axis; case 2, rotation about the y axis; and case 3, rotation about the z axis. Rank these three cases in order of increasing moment of inertia. Indicate ties where appropriate.

ANSWER:

Step 1 of 4

Case 1

The moment of inertia of the system rotating about the X-axis is given by,

Substitute,

So,

        

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