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Angular Acceleration of an L-Shaped System
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Two identical uniform rods of mass $$M$$ and length $$L$$ are welded together at one end to form an L-shape (the rods are perpendicular to each other). If a torque $$\tau$$ is applied perpendicular to the plane of the L-shape at the welded joint, what is the resulting angular acceleration $$\alpha$$ of the system about the welded end?

A

$$\frac{12\tau}{ML^2}$$

B

$$\frac{\tau}{ML^2}$$

C

$$\frac{3\tau}{2ML^2}$$

D

$$\frac{12\tau}{11ML^2}$$

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