This preview shows page 1. Sign up to view the full content.
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 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 simplies 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....
View
Full
Document
This note was uploaded on 12/10/2011 for the course MAC 2313 taught by Professor Keeran during the Fall '08 term at University of Florida.
 Fall '08
 Keeran
 Calculus

Click to edit the document details