A 131kg horizontal platform is a uniform disk of radius 1.97m and can rotate about the vertical axis through its center. A 62.1kg person stands on the platform at a distance of 1.03m from the center, and a 28.3kg dog sits on the platform near the person 1.43m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to theaxis.