Derive equation that integrated to find the angular velocity


Derive an equation that can be integrated to find the angular velocity of the bar as it passes through the vertical position. The image is of a bar that is released from horizontal rest, spins clockwise. It is asking for when the bar is at a vertical position. At the top is point A, then L/4 down is point C (which is the location of the pin which the bar rotates about) and then 3L/4 down is the bottom of the bar, point B. The bar is uniform and has length L and mass m. All variables, no numbers.

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Mechanical Engineering: Derive equation that integrated to find the angular velocity
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