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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Suppose a bicycle wheel is rotated about an axis through

Chapter 10, Problem 54P

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QUESTION:

Problem 54P

Suppose a bicycle wheel is rotated about an axis through its rim and parallel to its axle. (a) Is its moment of inertia about this axis greater than, less than, or equal to its moment of inertia about its axle? (b) Choose the best explanation from among the following:

I. The moment of inertia is greatest when an object is rotated about its center.

II. The mass and shape of the wheel remain the same.

III. Mass is farther from the axis when the wheel is rotated about the rim.

Questions & Answers

QUESTION:

Problem 54P

Suppose a bicycle wheel is rotated about an axis through its rim and parallel to its axle. (a) Is its moment of inertia about this axis greater than, less than, or equal to its moment of inertia about its axle? (b) Choose the best explanation from among the following:

I. The moment of inertia is greatest when an object is rotated about its center.

II. The mass and shape of the wheel remain the same.

III. Mass is farther from the axis when the wheel is rotated about the rim.

ANSWER:

Part (a)

Step 1 of 3:

The moment of inertia of an object depends on the mass of the object and the square of the distance from the axis of rotation. Consider a bicycle wheel is rotated about an axis through the rim which is parallel to the axle. We are going to find whether the moment of inertia of the wheel is greater in this case or not compared to the moment of inertia about the axis about its axle.

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