A lune occupies the region inside the circle x² + y² 10y but outside the circle x² + y2 = 25. Assume that the density at any point is inversely proportional to its distance from the origin. Find the center of mass (T, y) of the lune. 21

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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How do you find the center of mass of the lune?

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A lune occupies the region inside the circle x² + y² = 10y but outside the circle x² + y² = 25. Assume that
the density at any point is inversely proportional to its distance from the origin. Find the center of mass
(T, y) of the lune.
18
Y
-
=
Transcribed Image Text:2 A lune occupies the region inside the circle x² + y² = 10y but outside the circle x² + y² = 25. Assume that the density at any point is inversely proportional to its distance from the origin. Find the center of mass (T, y) of the lune. 18 Y - =
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