(Solved): Four small spheres, each of which you can regard as a point of mass \( 0.200 \mathrm{~kg} \), are a ...

Four small spheres, each of which you can regard as a point of mass \( 0.200 \mathrm{~kg} \), are arranged in a square \( 0.400 \mathrm{~m} \) on a side and connected by light rods (Figure 1). Find the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane (an axis through point \( \mathrm{O} \) in the figure). Express your answer in kilogram meters squared. Part B Find the moment of inertia of the system about an axis bisecting two opposite sides of the square (an axis along the line \( A B \) in the figure). Express your answer in kilogram meters squared. Find the moment of inertia of the system about an axis that passes through the centers of the upper left and lower right spheres and through point \( \mathrm{O} \). Express your answer in kilogram meters squared.