A rectangular gate 5 m × 3 m is hinged at its base A and inclined at 60 degree to the horizontal as shown in the figure. To keep the gate in a stable position a counter weight (W) of 5000 kg is attached at the upper end of the gate. Find the depth of water at which the gate begins to fall. The weight of the gate is 2000 kg. Neglect the friction at the hinge and pulley

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