Question $2.$

The diagram below shows a circular gate in the side of a water $(10C)$ reservoir. The gate has a diameter of $0\mathrm{.}80$ m and is hinged along its upper edge as shown. The top of the gate is located $2\mathrm{.}4$ m below the surface of the water. The gate is built into a wall of the reservoir which has a slope of $60$ from the horizontal as shown.

Determine:

a$.)$ the resultant of the pressure forces acting on the gate.

b$.)$ the location of the resultant pressure force with respect to the hinge.

c$.)$ the moment of this force about the hinge.