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Consider a system composed of three thin rods each of mass m and length L that are welded together to form an equilateral triangle. What is the moment of inertia of this triangle for rotation about an axis that is perpendicular to the plane of the triangle and through one of vertices of the triangle? The moment of inertia of a rod rotated about its center of mass is Irod, cm =1/12mL^{2}.

1. 17/12mL^{2}

2.7/3mL^{2}

3.5/6mL^{2}

4.3/2mL^{2}

5.1/2mL^{2}

6.2/3mL^{2}

7.11/12mL^{2}

8. mL^{2}