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Why should changing the axis of rotation of an object

Chapter 10, Problem 6CQ

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QUESTION:

Problem 6CQ

Why should changing the axis of rotation of an object change its moment of inertia, given that its shape and mass remain the same?

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QUESTION:

Problem 6CQ

Why should changing the axis of rotation of an object change its moment of inertia, given that its shape and mass remain the same?

ANSWER:

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Mathematically, moment of inertia of a point mass is the product of the mass and the square of perpendicular distance of that mass from the object’s axis of rotation.

If is the mass and is the perpendicular distance of this mass from the axis of rotation, then the moment of inertia of the mass is .

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