Problem 3.54[Difficulty: 3]Given:Gate geometryFind:Depth Hat which gate tipsSolution:This is a problem with atmospheric pressure on both sides of the plate, so we can first determine the location of thecenter of pressure with respect to the free surface, using Eq.3.11c (assuming depth H)y'ycIxxAyc⋅+=andIxxwL3⋅12=withycHL2−=where L= 1 m is the plate height and w is the plate widthHencey'HL2−⎛⎝⎞⎠3⋅12 w⋅L⋅HL2−⎛⎝⎞⎠⋅+=HL2−⎛⎝⎞⎠L212HL2−⎛⎝⎞⎠⋅+=But for equilibrium, the center of force must always be at or below the level of the hinge so that the stop can hold the gate in
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.