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Static Moment : Symmetrical Trapezoidal Plate in a Liquid

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A symmetrical trapezoidal plate has the following dimensions: The width of the parallel sides are, respectively, 2.5 and 4.5 ft. The perpendicular distance between those sides is 1.5 ft. The plate is submerged in a liquid in a vertical position with the parallel sides horizontal and the shorter parallel side at the tip and exactly in the surface of the liquid. The static moment of the plate with respect to the surface of the liquid will be? 5.43 cu. Ft., 6.93 cu. Ft., 4.31 cu ft., 7.68 cu ft.

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In this solution the static moment of a symmetrical trapezoidal plate in a liquid is found. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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** Please see the attached file for the illustrated axes **

Hello there

If we pick the usual left handed axes x,y,z such that the x axis goes along the shorter parallel side (2.5 ft), and the z axis bisects the trapezium ie ...

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