Question

A 1 m diameter cylindrical mass, M, is connected to a 2 m wide rectangular gate as shown in the figure below. The gate is to open when the water level, h, drops below 2.5 m. Neglectfriction at the gate hinge and the pulley. Pwater= 1000 kg/m³g = 9.81 m/s² a. The hydrostatic force on the gate and its position as function of h and show its directionon the figure.

Fig: 1

Fig: 2

Fig: 3