Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Hello, please answer the following question

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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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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Step 1: Formula
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Step 2: Find limits of integration.
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Step 3: Find the required integrals.
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Step 4: Find center of mass.
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Solution
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