A 109-kg horizontal platform is a uniform disk of radius 1.61 m and can rotate about the vertical axis through its center. A 69.9-kg person stands on the platform at a distance of 1.07 m from the center and a 29.9-kg dog sits on the platform near the person, 1.43 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis