A closed tank with flat walls is filled with diesel fue

A closed tank with flat walls is filled with diesel fuel, the density of which is ρ. In the vertical wall of the tank there is a rectangular hole (D * in), closed with a semi-cylindrical lid, which can rotate around the horizontal axis A. The manovacuum meter MV shows gauge pressure Рм or vacuum Рвак. The fuel depth above the cover is H, the mass of the cover is t (Fig. 1).
Determine the force that must be applied to the bottom of the cover so that it does not open.
Given: ρ = 850kg / m3; pm = 8.8 kPa = 8800 Pa; D = 1.4m; in = 2.7m; H = 0.8m; m = 360kg.
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