Let L be the lamina of uniform density p = 1 obtained by removing circle A of

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Let L be the lamina of uniform density p = 1 obtained by removing circle A of radius r from circle B of radius 2r (see figure).

(a) Show that Mx, = 0 for L.

(b) Show that My, for L is equal to (My, for B) - (My, for A).

(c) Find My, for B and My, for A. Then use part (b) to compute My, for L.

(d) What is the center of mass of L?

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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