The flow control gate shown in Figure 2.81 has the shape of a quadrant of a circle of radius 1 m and a weight of 40 kN per meter of length perpendicular to the page. The gate is pin-connected at P....

The flow control gate shown in Figure 2.81 has the shape of a quadrant of a circle of radius 1 m and a weight of 40 kN per meter of length perpendicular to the page. The gate is pin-connected at P. Determine the height, h, of water in the reservoir behind the gate that will cause the gate to open. Assume water at 20◦C.