A lamina (with uniform thickness 0.01m) has the shape in the xy plane bounded by the curves y+sqrt(x)=0, x-y=0, x=1, x=4. If the density is given to be proportional to the distance of a point on the curve to Y-axis, find the centroid of the region.
Please see the attached file for the fully formatted problem.
integrals, integration, integrating© BrainMass Inc. brainmass.com March 4, 2021, 7:00 pm ad1c9bdddf
Since the density is proportional to the distance from y-axis, we can make out ...
The centroid of a lamina is found using definite integrals when density of the region varies. The solution is detailed and well presented.