A door \(1 \mathrm{~m}\) wide and \(1.5 \mathrm{~m}\) high is located in a plane vertical wall of a water tank. The door is hinged along its upper edge, which is \(1 \mathrm{~m}\) below the water surface. Atmospheric pressure acts on the outer surface of the door and at the water surface.

(a) Determine the magnitude and line of action of the total resultant force from all fluids acting on the door.

(b) If the water surface gage pressure is raised to \(0.3 \mathrm{~atm}\), what is the resultant force and where is its line of action?

(c) Plot the ratios \(F / F_{0}\) and \(y^{\prime} / y_{c}\) for different values of the surface pressure ratio \(p_{s} / p_{\text {atm. }}\). \(\left(F_{0}\right.\) is the resultant force when \(p_{s} / p_{\text {atm }}\).)