A rectangular gate is hinged as shown in the figure. The width of the gate is $4$ meters.

a$)$ Determine the hydrostatic force caused by the water at $T=15C$ in kPa

b$)$ Determine the location of the resultant hydrostatic force on the gate, $y_{cp}$

c$)$ Determine the moment caused by this force around the hinge at $A.$

d$)$ Determine the force required to keep the gate clased by the stop at the end of the gate