Problem: A non-uniform disk with a radius R rotates about an axis through its center, perpendicular to the plane of the disk. If the disk has a radius R, a thickness h, and a mass distribution of ρm = a*r 2, where a is a constant, what is the moment of inertia of the disk about the axis?

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A non-uniform disk with a radius R rotates about an axis through its center, perpendicular to the plane of the disk. If the disk has a radius R, a thickness h, and a mass distribution of ρm = a*r 2, where a is a constant, what is the moment of inertia of the disk about the axis?