A 4-m-long quarter-circular gate of radius 3 m and of negligible weight is hinged about its upper edge A, as shown in Fig. P10-23. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force required to keep the gate closed when the water level rises to A at the upper edge of the gate.
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The flow of water over the ledge B is controlled using a quarter circular gate hinged about its upper edge at A and spring is used at B to press the gate as shown in figure below. We need to calculate the minimum spring force required at point B, to close the gate when the water rises to point A at the upper edge of the gate. The density of water is taken to be .