A 1-m-diameter cylindrical mass, M, is connected to a 2-m wide rectangular gate as shown in figure. The gate is to open when the water level, h, drops below 2.5 m. Neglect friction at the gate hinge and pulley.

(a) Sketch the pressure distribution on the gate. Ignore atmospheric pressure as it applies on both sides of the gate.

(b) Determine the magnitude, point of application and direction of the resultant hydrostatic force on the gate

(c) Determine the required value of M for the gate to open when h=2.5 m.