A 3-m-wide, 8-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 Fig. P2.102. The gate is hinged at its bottom and held closed by a horizontal force, \(F_{H}\), located at the center of the gate. The maximum value for \(F_{H}\) is \(3500 \mathrm{kN}\).

(a) Determine the maximum water depth, \(h\), above the center of the gate that can exist without the gate opening.

(b) Is the answer the same if the gate is hinged at the top? Explain your answer.

Figure P2.102

h 4 m Hinge 4 m T FH