problem09_99

# University Physics with Modern Physics with Mastering Physics (11th Edition)

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9.99: a) Following the hint, the moment of inertia of a uniform sphere in terms of the mass density is , 5 15 8 2 5 2 ρR ΜR I π = = and so the difference in the moments of inertia of two spheres with the same density ρ but different radii ). )( 15 8 ( is and 5 1 5 2 1 2 R R π ρ Ι R R - = b) A rather tedious calculation, summing the product of the densities times the difference in the cubes of the radii that bound the regions and multiplying by
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Unformatted text preview: kg. 10 97 . 5 gives , 3 4 24 × = M π c) A similar calculation, summing the product of the densities times the difference in the fifth powers of the radii that bound the regions and multiplying by . 334 . m kg 10 02 . 8 gives , 15 8 2 2 22 MR I = ⋅ × = π...
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