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Homework of Math

# Homework of Math - ρ(in units of kg/cm 2(a obtain the...

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Department of Mathematics University of Southern California April 1, 2011 Homework Problems on 12-4 Problem A.1 (Modi fi cation of Problem 14) For the lamina in the shape of a crescent de fi ned as the region between the two circles, x 2 + y 2 = 2 ay and x 2 + y 2 = a 2 , calculate the area. Problem A.2 For the crescent shape above, assuming a uniform density distribution,
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Unformatted text preview: ρ (in units of kg/cm 2 , (a) obtain the position ( x, y ) of the center of mass; (b) calculate I , the moment of inertia about the z axis. Problem A.3 For the region within the disk x 2 + y 2 = 2 ay with the density distribution ρ ( x, y ) = ρ w y a W 2 , f nd y . 1...
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