Problem: A 101 kilograms horizontal platform is a uniform disk of radius 1.99 meter and can rotate about the vertical axis through its center. A 67.3 kilogram person stands on the platform at a distance of 1.11 meter from the center and a 28.3 kilogram dog sits on the platform near the person, 1.31 meter from the center.
Part A. Obtain the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.