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Understanding Forces on Submerged Surfaces
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[QUOTE="haruspex, post: 5391093, member: 334404"] I struggle to read the subscripts in the attachment, they're a bit fuzzy, so I could be wrong, but here's what I think it says. First the "horizontal projection" of the curved surface here means an imaginary horizontal surface found by projecting the curved surface down onto a horizontal plane passing through the lower edge of the curved surface. The force F[SUB]V[/SUB] is the normal force that acts on that surface (so it is the pressure at that depth multiplied by the area of the horizontal surface). Similarly, F[SUB]H[/SUB] is the force acting on an imaginary vertical surface, as shown. (The pressure in that case varies with depth. F[SUB]H[/SUB] is the integral of that pressure.) The force acting on the curved surface is F, and this has horizontal and vertical conponents F[SUB]x[/SUB] and F[SUB]y[/SUB] respectively. The text shows: F[SUB]H[/SUB]=F[SUB]x[/SUB] F[SUB]V[/SUB]=F[SUB]y[/SUB]+W Which seems perfectly reasonable. [/QUOTE]
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Understanding Forces on Submerged Surfaces
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