The major and minor radii of a thin elliptical disk of uniform density and mass 1 kg are 2 m and 1 m, respectively. Determine the moment of inertia about an axis that is perpendicular with the disk surface and goes through the center of the disk.

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The major and minor radii of a thin elliptical disk of uniform density and mass 1 kg are 2 m and 1 m, respectively. Determine the moment of inertia about an axis that is perpendicular with the disk surface and goes through the center of the disk.