The boundary of a lamina consists of the semicircles y = V1 - 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 60 (x, V) = ( 0,- 13n

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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The boundary of a lamina consists of the semicircles y = V1 - 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
60
(x, V) = ( 0,-
13n
Transcribed Image Text:The boundary of a lamina consists of the semicircles y = V1 - 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 60 (x, V) = ( 0,- 13n
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