The boundary of a lamina consists of the semicircles y = √16x² and y = √36x² together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is inversely proportional to its distance fromthe origin.(x, 7) = (X

Here we have to find the centre of the mass of the lamina.

Answered: The boundary of a lamina consists of…

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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The boundary of a lamina consists of the semicircles y=√16-x² and y= √36-x2 together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is inversely proportional to its distance from the origin.