A dam is to be constructed using the cross-section shown. Assume the dam width is \(w=160 \mathrm{ft}\). For water height \(H=9 \mathrm{ft}\), calculate the magnitude and line of action of the vertical force of water on the dam face. Is it possible for water forces to overturn this dam? Under what circumstances will this happen?

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2 ft 10 ft y A = 1 ft B = 10 ft Water xy-Ay B H = 9 ft 7 ft P3.60 1.67 ft