Moments of Inertia In Exercises 61 and 62, set up a tripleintegral that gives the moment

Chapter 14, Problem 60

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Moments of Inertia In Exercises 59 and 60, verify the moments of inertia for the solid of uniform density. Use a computer algebra system to evaluate the triple integrals.

\(I_{x}=\frac{1}{12} m\left(a^{2}+b^{2}\right)\)

\(I_{y}=\frac{1}{12} m\left(b^{2}+c^{2}\right)\)

\(I_{z}=\frac{1}{12} m\left(a^{2}+c^{2}\right)\)

Text Transcription:

I_{x}=1/12 m(a^{2}+b^{2})

I_{y}=1/12 m(b^{2}+c^{2})

I_{z}=1/12 m(a^{2}+c^{2})

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