Consider a lamina in the shape of a half annulus with inner radius 5 and outer radius 9. The mass density at any point is directly proportional to the distance to the origin. Compute the moment of inertia with respect to the diameter.
Don’t leave the proportionality constant in the answer. You may, however, leave m in your answer, so you may need to compute that as well. What does diameter mean for a half annulus? It means the same thing that it would be if it were a half disk.
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