Use the result of Exercise 45 to calculate the radius of gyration of a uniform sphere of

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Use the result of Exercise 45 to calculate the radius of gyration of a uniform sphere of radius R about any axis through the center of the sphere.

Data From Exercise 45

Show that the moment of inertia of a sphere of radius R of total mass M with uniform mass density about any axis passing through the center of the sphere is 2/5 MR². Note that the mass density of the sphere is δ = M/(4/3 πR³).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 21, 2024 10:00 AM

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Use the result of Exercise 45 to calculate the radius of gyration of a uniform sphere of

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Calculus

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