Let S be the lamina of mass density = 1 obtained by removing a circle of

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Let S be the lamina of mass density ρ = 1 obtained by removing a circle of radius r from the circle of radius 2r shown in Figure 27. Let MSand MSdenote the moments of S. Similarly, let Mbig y and Msmallbe the y-moments of the larger and smaller circles.

y 2r -X

(a) Use the Symmetry Principle to show that M = 0. (b) Show that M = Mbi - Msmall using the additivity of

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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