In: Physics
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.)