A trough contains water weighing 62.4 lb/ft³. The bottom of the trough has a parabolic profile, so that the two ends of the trough have the shape of the shaded region shown in the graph below. All distances shown in the the graph are measured in feet. Ň 2 y = 4 2 y=x 2
A trough contains water weighing 62.4 lb/ft³. The bottom of the trough has a parabolic profile, so that the two ends of the trough have the shape of the shaded region shown in the graph below. All distances shown in the the graph are measured in feet. Ň 2 y = 4 2 y=x 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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B1.
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Transcribed Image Text:Note that the bottom of the trough is located at the
origin in the above graph, and the horizontal line
forming the upper boundary of the region is the top
of the trough. In particular, the trough is 4 feet tall
and 4 feet wide at the top. The length of the trough
is 10 feet. Assuming that the trough is filled to a
height of 3 feet (ie. so the water level is 1 foot
below the top of the trough), find the fluid force
that the water exerts against one of the ends of the
trough. Show your integral setup and your steps in
evaluating your integral to obtain a numerical
answer. Include correct units in your final answer.
Transcribed Image Text:A trough contains water weighing 62.4 lb/ft³. The
bottom of the trough has a parabolic profile, so that
the two ends of the trough have the shape of the
shaded region shown in the graph below. All
distances shown in the the graph are measured in
feet.
-2
2
0
y = 4
2
y=x
2
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