5-89 The width of the rectangular gate shown in Fig. P5-89 is 3 ft. Determine the magnitude of the resultant force R exerted on the gate by the water (y = 62.4 lb/ft) pres- sure and the location of the center of pressure with respect to the hinge at the bottom of the gate. B 8 ft 5 ft 60° 45°

The flow of water from a container is controlled by a 5-ft-wide L-shaped gate hinged at point A, as shown in the figure. If it is desired that the gate open when the height of the water is 10 ft, determine the weight W of the counterweight to achieve this. Take d= 5 ft and H = 16 ft. Give your answer in lb and without decimals.