A gate having the shape shown is located in the vertical

side of an open tank containing water. The gate is

mounted on a horizontal shaft. $($a$)$ When the water level

is at the top of the gate, determine the magnitude of the

fluid force on the rectangular portion of the gate above

the shaft and the magnitude of the fluid force on the

semicircular portion of the gate below the shaft. $($b$)$ For

this same fluid depth determine the moment of the force

acting on the semicircle portion of the gate with respect

to an axis which coincides with the shaft. $($Answer: $($a$)1060$ kN$,1010$ kN $($b$)1\mathrm{.}37$X $10^6$ Nm$)$