For this exercise we will use the fact (see Exercise 32 in Section 6.5) that the moments of a combination of regions is the sum of the moments of the individual regions. Thus in particular if R iscomposed of two subregions, R1 and R2, theny (area of R) = Y1 (area of R1) + Y2 (area of R2)One circle C, of radius 2 is centered at the origin. On top of the circle a second circle, C2, is placed, with radius 1 and center (0, 6). Find the center of gravity, (x, y ) , of the combination of the twocircles.= 101Il ||| ×1>

For this exercise we will use the fact (see Exercise 32 in Section 6.5) that the moments of a combination of regions is the sum of the moments of the individual regions. Thus in particular if R is composed of two subregions, R, and R2, then y (area of R) = y1 (area of R1) + y2 (area of R2) One circle C, of radius 2 is centered at the origin. On top of the circle a second circle, C2, is placed, with radius 1 and center (0, 6). Find the center of gravity, (x, y), of the combination of the two circles.

For this exercise we will use the fact (see Exercise 32 in Section 6.5) that the moments of a combination of regions is the sum of the moments of the individual regions. Thus in particular if R is composed of two subregions, R, and R2, then y (area of R) = y1 (area of R1) + y2 (area of R2) One circle C, of radius 2 is centered at the origin. On top of the circle a second circle, C2, is placed, with radius 1 and center (0, 6). Find the center of gravity, (x, y), of the combination of the two circles.

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 34E

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