The width of the sinusoidal gate is w meters and the geometry of the gate is defined as y(x) = x3 +B The water (density = 1000 kg/m) coming out of the jet applies a pressure on point A, which is used to keep the gate closed. The water outflows from the jet through an area whose diameter is D. The height of the point A in meters, which is same as the height of the jet from the pin connection is given as: J(y) = h + 1.15 Calculate: a) What is the weight of water below the gate (10 pts.) b) What is the total horizontal force acting on the gate (10 pts.) c) Calculate the application point of the horizontal force (10 pts.) d) Calculate the total vertical force acting on the gate (10 pts.) e) Calculate the application point of the vertical force (15 pts.) f) Draw the pressure distribution at the bottom of the channel and over the gate (5 pts.) g) What must be the minimum force applied over the point A by the jet so that the gate will not open (20 pts.) h) What is the minimum velocity of the flow that must be supplied by the jet in order to keep the gate closed? (20 pts.) Jet it (0.0) x -2 m