Double Integration Variable Pressure Problem: A variable pressure acts on the region
Chapter 11, Problem 9(choose chapter or problem)
Double Integration Variable Pressure Problem: A variable pressure acts on the region bounded by the curve y = ex and the lines y = 1 and x = ln 5. Find the force acting on this region if a. The pressure is constant in the y-direction but varies directly with the square of x. b. The pressure is constant in the x-direction but varies inversely with y. c. The pressure varies both directly with the square of x and inversely with y. To solve this problem, you must slice one way, then slice the slice the other way. One integration gives dF. A second integration gives F. See Figure 11-5g for suggestions.
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