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# Calculate the moment of inertia of a homogeneous cube

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Calculate the inertia tensor of a homogeneous cube of mass M and density D and sides b. Let one corner be at the origin and the 3 sides lie along the coordinate axes.

Please show all work including the matrix expansion in detail...I need to see how the tensor equation is used to generate a moment of inertia.

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Please see the attached file.

The moment of inertia of a solid body with density with respect a given axis is ...

#### Solution Summary

It shows how to calculate the moment of inertia of a homogeneous cube using the tensor equation.

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