(a) h = (b) h = i A 3-m-wide, 9.0-m-high rectangular gate is located at the end of a rectangular passage that is connected to a large open tank filled with water as shown in the figure below. The gate is hinged at its bottom and held closed by a horizontal force, FH, located at the center of the gate. The maximum value for FH is 3750 kN. (a) Determine the maximum water depth, h, above the center of the gate that can exist without the gate opening. (b) Determine the maximum water depth, h, if the gate is hinged at the top? Assume h = 4.5 m. 3 3 m h h FH h Hinge T An open tank has a vertical partition and on one side contains gasoline with a density p = 740 kg/m at a depth of 1.1 m, as shown in the figure below. A rectangular gate that is 1.1 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? Assume h = 1.1 m. Water Stop- Hinge -Partition h Gasoline Concepts: The pressure in a fluid is a function of the specific weight of the fluid and the height relative to a reference. Pressure is constant on horizontal planes of a continuous mass of fluid. Sum of the moments is zero for equilibrium (a) What is the specific weight of the gasoline? (b) What is the force of the gasoline on vertical gate? (c) Where does the force of the gasoline act with respect to the hinge? (d) What is the moment of the force of the gasoline around the hinge? (a) y = i N/m (b) F = KN (c) hF = m (d) M = KN-m