A homogeneous right triangular pyramid with the base side $a$ and height $\frac{3a}{2}$ is shown below. Obtain the moment of inertia tensor of the pyramid :
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The base is a right triangle in the xy-plane, and the apex is along the z-axis. The vertices are: - \( O = (0, 0, 0) \) - \( A = (a, 0, 0) \) - \( B = (0, a, 0) \) - \( C = (0, 0, \frac{3a}{2}) \) Show more…
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