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We saw in class that the net force and the center of pressure on a vertical plate with surface area A, centroid of z

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We saw in class that the net force and the center of pressure on a vertical plate with surface area A, centroid of z and moment of area about centroid Ie is F = pgzA and cp = + Let's extend the equations to a flat plate of surface area A as shown below that is immersed in a fluid. The plate makes an angle 0 with the horizontal as shown in Figure 1. Zcp 0 Figure 1: Inclined surface (a) Show that the force acting on the surface is F = pgz sin 0A. (b) Show that the vertical distance of the center of pressure is %cp = + I sin 0

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