Mass, Centroid, and Moments
Compute the mass, centroid, and moments Ix, Iy and Io of the half-disk:
y>0, x^2+y^2<1
with density delta(x,y)=y
it is said we should know the primitive (sin(x))^n
or (cos(x))^n from Pi/2 to 0
https://brainmass.com/math/integrals/mass-centroid-moments-26265
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The region is , , which is upper half circle. ...
Solution Summary
This shows how to compute the mass, centroid, and moments Ix, Iy and Io of the given half-disk.
$2.19