$[$The result is supposed to $7$kN$]$

$2\mathrm{.}34$ The triangular$-$shaped gate shown in Figure P$2\mathrm{.}34$ is $1\mathrm{.}2$ m wide

and pivots at C $.$ It weighs $80\mathrm{.}0$ kN and its center of mass is located $0\mathrm{.}5$ m

to the right of plane BC $.$ Determine the vertical force at A on the gate when

the water level in the tank is $0\mathrm{.}9$ m above the base. Friction in the hinge is

negligible.

Figure P$2.34$