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Rotational Dynamics / Kinetmatics (Moment of Inertia; Newton's Second Law; Parallel-Axis Theorem; Angular Velocity)

A uniform board of mass m and length L is pivoted on one end and is supported in the horizontal position by a rope attached to the other end. Another rope, attached to the board a distance L/3 from the pivot point, is being pulled straight down with a constant force of magnitude F.
Suddenly, the rope attached to the end of the board breaks. What is the instantaneous angular acceleration a of the board?

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