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Twelve long thin rods, each of length L, are assembled into the flat shape shown. The axis of rotation passes through the center and

Twelve long thin rods, each of length L, are assembled into the flat shape shown. The axis of rotation passes through the center and the object rotates in the plane of the page like a windmill. Derive a simplified formula for the moment of inertia I of this cube in terms of the total mass M of the shape and the length L of the component rods.

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