hw_06 - Name(s) (up to three students per homework set):...

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Due: In class, Friday October 21, 2005 Name(s) (up to three students per homework set) : 1. 2. 3. For instructor or TA use only: Problem Score Points 1 15 2 10 3 15 4 15 5 15 6 15 7 15 ME 33 Fall Semester, 2005 Homework Set # 6 Professor J. M. Cimbala Total: 100 1 . (15 pts) Consider a vertical rectangular flat plate of height h and width w exposed to stagnant water of depth h on one side, and to atmospheric pressure on the other side as in Figure 3-24 in the text. Using centroids and centroidal moments of inertia, it can easily be shown that the center of pressure is located at water depth 2 h /3. Suppose you know nothing about centroids, but instead approach this problem from the basic fundamentals only. In other words, suppose that all you know is the hydrostatic pressure relation, P below = P above + ρ g| z |. Integrate to prove that the center of pressure is located at water depth 2 h /3. Hint : Integrate to calculate the actual moment about the top of the plate, and set it equal to the moment
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This note was uploaded on 07/23/2008 for the course ME 33 taught by Professor Cimbala during the Fall '05 term at Pennsylvania State University, University Park.

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