The boundary of a lamina consists of the semicircles y = √√1-x² 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 proportional to its distance from the origin. Hint: use polar coordinates ) = (ترور) (x, y)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter79: Computing Compound Angles On Cutting And Forming Tools
Section: Chapter Questions
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The boundary of a lamina consists of the semicircles y = √√√1-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 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 = √√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 proportional to its distance from the origin. Hint: use polar coordinates (x, y) =
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