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2.99 A circular gate of radius R is mounted halfway up a vertical dam face as shown in Figure P2.99. The dam is filled

2.99 A circular gate of radius R is mounted halfway up a vertical dam face as shown in Figure P2.99. The dam is filled to a depth h with water, and the gate pivots without friction about a horizontal diameter. (a) Determine the magnitude of the force due to the water pressure acting on the gate. (b) Determine the magnitude and sign of the force F required to prevent the gate from opening. Pa Side View Pa F Hinge Figure P2.99 R Front View

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