The boundary of a lamina consists of the semicircles y = √√1-x² and y = √9 - x² together with the p xis that join them. Find the center of mass of the lamina if the density at any point is inversely proportion listance from the origin. Hint: use polar coordinates

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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The boundary of a lamina consists of the semicircles y = √√1-x² and y =
9 - 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. Hint: use polar coordinates
(x, y) =
(
Transcribed Image Text:The boundary of a lamina consists of the semicircles y = √√1-x² and y = 9 - 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. Hint: use polar coordinates (x, y) = (
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