a 109 kg horizontal platform is a uniform disk of radius 1.81 m and can rotate about the vertical axis through its center. a 64.7 kg person stands on the platform at a distance of 1.11 m from the center, and a 27.7 kg dog sits on the platform near the person 1.35 m from the center. find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.