Question
Determine the moment of inertia of the homogeneous triangular prism with respect to the $y$ axis. Express the result in terms of the mass $m$ of the prism. Hint:For integration, use thin plate elements parallel to the $x-y$ plane and having a thickness $d z$.
Step 1
The mass of this element is $dm = \rho dV = \rho b dx dz$, where $\rho$ is the density of the prism, $b$ is the width of the prism, $dx$ is the length of the prism, and $dz$ is the thickness of the prism. Show more…
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Determine the moment of inertia of the homogenous triangular prism with respect to the $y$ axis. Express the result in terms of the mass $m$ of the prism. Hint: For integration, use thin plate elements parallel to the $x-y$ plane having a thickness of $d z$
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