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Unformatted text preview: If is a continuous density function on the lamina corresponding to a plane region R, then the mass m of the lamina is given by ∫ ∫ = R dA y x m ) , ( . Moments and Center of Mass of a Variable Density Planar Lamina Let be a continuous density function on the planar lamina R. The moments of mass with respect to the x- and y- axes are ∫ ∫ = R x dA y x y M ) , ( and ∫ ∫ = R y dA y x x M ) , ( . If m is the mass of the lamina, then the center of mass is ( 29 . , , = m M m M y x x y If R represents a simple plane region rather than a lamina, the point ( 29 y x , is called the centroid of the region....
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This note was uploaded on 01/13/2012 for the course MATH 2574 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.
- Spring '12