Consider a plane, vertical area A below the surface of a liquid. Let p0 be the pressure at...

Consider a plane, vertical area A below the surface of a liquid. Let p0 be the pressure at the surface.

(a) Show that the force exerted by pressure on the area is , where  is the pressure of the liquid at the centroid of the area.

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(b) Show that the x coordinate of the center of pressure is

where Iy' is the moment of inertia of the area about the y' axis through its centroid.