A 3.0kg point mass rests on a frictionless horizontal surface at the coordinate (0.60m,0.80m) in the xy-plane. Answer the following, treating the z-axis as perpendicular to the plane and passing through the origin unless otherwise specified.
(a) Determine the moment of inertia of the mass about the z-axis through the origin.
(b) Determine the moment of inertia of the same mass about the x-axis through the origin.
(c) Explain why the numerical answers to parts (a) and (b) are different, making specific reference to the geometric meaning of the distances used in each calculation.