Unformatted text preview: without evaluating the integrals . Then, evaluate both integrals to check your answer. i C 1 y ds and i C 2 y ds. 2 A thin plate (lamina) of uniform density ρ covers the portion of the xyplane lying in the ±rst quadrant and between the two circles of radii a and b , both centered at the origin. In other words, the lamina covers the points in the set { ( x, y ) : x, y ≥ 0 and a 2 ≤ x 2 + y 2 ≤ b 2 } . a. Find the coordinates ( x, y ) of the center of mass of this plate. (Using symmetry simpli±es this problem.) b. Suppose now that b = 1 (to make the algebra easier). Using your answer to the previous part, determine for which values of a the center of mass lies inside the lamina....
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 Fall '08
 Keeran
 Calculus, Arc Length, Following, following line integrals

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