Question: a) Calculate the inertia tensor of a solid rectangular pyramid of height H and base of sides A and B. Take the origin as

a) Calculate the inertia tensor of a solid rectangular pyramid of height

a) Calculate the inertia tensor of a solid rectangular pyramid of height H and base of sides A and B. Take the origin as the center of the base of the pyramid, which is in the x-y plane. b) What would the ratios of A, B, and H have to be for all three principal moments to be equal to each other? c) if the pyramid were rotated at angular velocity w about an axis that is parallel to the x-axis and passes through the tip of the pyramid, what would be the angular momentum?

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