$3.$ Water pressure forces acting on support strut

The L$-$Shaped gate is used to control water depth in a tank. It is able to rotate about a hinge at Location B$.$ Water is filled $2$

$\mathrm{.}5$ feet above Location. We'd like to know the force acting downward at Location C to hold the gate in place. Dimensions are included in the sketch. You may neglect the weight of the gate. The specific weight of the water is $\backslash (62\mathrm{.}4\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash ).$

a$.$ Draw a free body diagram that fully illustrates the forces on the gate due to the water pressure.

b$.$ Determine the magnitude $($in N $)$ and the line of action $($i$.$e$.$ distance above Location B$)$ of the normal pressure force on the wall due to the water.

c$.$ Determine the vertical component of the vertical pressure force due to the water acting on the gate $($in N $)$

d$.$ Determine the magnitude and direction of the force acting on the support at Location C$.$