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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 324 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.
 Fall '05
 CIMBALA

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