zIx 112m3a2 L2xy244z = 4 y2zxy

Chapter 14, Problem 59

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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.

\(I_{x}=\frac{1}{12} m\left(3 a^{2}+L^{2}\right)\)

\(I_{y}=\frac{1}{2} m a^{2}\)

\(I_{z}=\frac{1}{12} m\left(3 a^{2}+L^{2}\right)\)

Text Transcription:

I_{x}=1/12 m(3 a^{2}+L^{2})

I_{y}=1/2 m a^{2}

I_{z}=1/12 m(3 a^{2}+L^{2})

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