Answer: About what axis will a uniform, balsa-wood sphere

Chapter 9, Problem 53E

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QUESTION:

Problem 53E

About what axis will a uniform, balsa-wood sphere have the same moment of inertia as does a thin-walled, hollow, lead sphere of the same mass and radius, with the axis along a diameter?

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QUESTION:

Problem 53E

About what axis will a uniform, balsa-wood sphere have the same moment of inertia as does a thin-walled, hollow, lead sphere of the same mass and radius, with the axis along a diameter?

ANSWER:

Solution 53E

Step 1:

The moment of inertia of a hollow sphere about it’s diameter is,

             .

Where M is the mass and R is the radius of the sphere.

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