The gate $($hinged at B$)$ shown in the figure is used to contain the water in its reservoir. Under the closed configuration, the gate leans on the floor of the reservoir as shown. The gate is $6$ m wide $($in the direction perpendicular to the page$)$ and has a mass of $320$ kg $.$ The barometric pressure is $755$ mm of mercury $.$ If $h_1=0\mathrm{.}6m$ and $h_2=4m,$ determine the minimum force $(F)$ required to open the gate if it is applied at the center as shown.