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Consider the vertically submerged rectangular plate. We are going to determine the total force due to liquid pressure on the plate. The dimensions of the
Consider the vertically submerged rectangular plate. We are going to determine the total force due to liquid pressure on the plate. The dimensions of the plate are W = 12 ft, L = 8 ft . The top of the plate is at a depth of D = 5 ft below the surface. The weight density of water is 6 = 62.4 lbs/ft? | i ' AX This problem depends on the vertical coordinate system to the left. The force, E , on the ith strip of the plate = weight of the 2'1th " column of water" (diagram on right) = 6 - vi, where v;- = volume of the ith " column of water". For this problem, Adding up the force on all the subintervals and allowing n > oo, where n represents the number of subintervals, gives the integral for total force due to liquid pressure, F. (Don't forget 6) :1 f :dm :1 0 Question 2 [Z 10 pts '0 1 6) Details 1 11' The region R in the any-plane is bounded by the graphs of y : 4sin(a:), y : Em and a: : E, and just touches the origin. The centroid of R is located at
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