A 133-kg horizontal platform is a uniform disk of radius 1.51 mand can rotate about the vertical axis through its center. A66.5-kg person stands on the platform at a distance of 1.07 m fromthe center and a 27.5-kg dog sits on the platform near the person,1.39 m from the center. Find the moment of inertia of this system,consisting of the platform and its population, with respect to theaxis. _____ kg*m^2