In the figure below, three thin rods are all connected at their centers. The rods each have the same length L and mass m, and they are all perpendicular to one another. Each rod lies on one of the x, y, or z-axes as shown. The entire structure formed by the rods is rotated about an axis that is parallel to the y-axis and passes through the end of the rod that lies on the x-axis. What is the moment of inertia of this structure about the axis of rotation? (Use any variable or symbol stated above as necessary.)
In the figure below, three thin rods are all connected at their centers.