11.01.2023 Views

ch07-distributed-forces-centroids-and-centers-of-gravity

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

y

x

dx

Problem 7.9 Solution

Use symmetry to help locate the

centroid. Symmetry implies

y = 0 z = 0

z

y = kx 1/3

r

x

Identify an element of volume dV

which produces a single or

double integral.

Choose as the element of volume a disk or radius r and

thickness dx. Then

dV = r 2 dx

x el = x

48

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!