ch07-distributed-forces-centroids-and-centers-of-gravity
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y
x
dx
Problem 7.9 Solution
Integrate and determine the centroid.
dV =
a 2
h 2/3
x 2/3 dx
z
y = kx 1/3
r
x
V = x 2/3 dx
0
h
a 2
a 2
h 2/3
= x 5/3
3
h 2/3 5
3
=
5
a 2 h
[ ]
h
0
Also
x el dV = x ( x 2/3 dx) = [ x 8/3 ]
0
h
a 2
h 2/3 a 2
3
h 2/3 8
= a 2 h 2 3
8
50
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