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A 109-kg horizontal platform is a uniform disk of radius 1.69 m and can rotate about the vertical axis through its center. A 61.5-kg person stands on the platform at a distance of 1.15 m from the center and a 27.5-kg dog sits on the platform near the person, 1.33 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.

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