For the tide gate shown below determine the horizontal reaction $($in kN $)$ at the stop C $.$ There are $3$ parts.

$\backslash (\backslash$mathrm$\{$a$\}=4\mathrm{.}7\backslash$mathrm$\{$~m$\},\backslash$mathrm$\{$~b$\}=6\mathrm{.}9\backslash$mathrm$\{$~m$\},\backslash$mathrm$\{$c$\}=3\mathrm{.}5\backslash ),$ gate width $\backslash (=1\mathrm{.}8\backslash$mathrm$\{$~m$\}\backslash ).$

Answer tolerance $1\backslash \%$

a$)$

What is the force $($in N $)$ exterted on the left hand side of the gate by the water?

b$)$

What is the moment $($in Nm $)$ about the hinge exterted on the left hand side of the gate by the water?

c$)$ What is the horizontal reaction force $($in kN$)$ at stop C$?$