Moments of Inertia In Exercises 57 and 58, verify the moments of inertia for the solid
Chapter 14, Problem 57(choose chapter or problem)
In Exercises 57 and 58, 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(3a^2 + L^2)
I_y = 1 / 2 m a^2
I_z = 1 / 12 m(3a^2 + L^2)
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