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Angular Acceleration of an L-Shaped System

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Two identical uniform rods, each of mass MM and length LL, are welded together at their ends to form a perpendicular L-shape. A torque τ\tau is applied at the welded joint, perpendicular to the plane containing the L-shape. What is the angular acceleration α\alpha of the system about an axis through the welded joint?

A

τML2\frac{\tau}{ML^2}

B

12τ11ML2\frac{12\tau}{11ML^2}

C

12τML2\frac{12\tau}{ML^2}

D

3τ2ML2\frac{3\tau}{2ML^2}

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