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Unformatted text preview: y M x m i i 1 n Ex. m 1 = 4 m 2 = 8 m 3 = 3 m 4 = 2 P 1 (2, 3) P 2 (2, 6) P 3 (7, 3) P 4 (5, 1) Find the center of mass x , y . Solids The center of mass of a rectangle is in the center Since mass = (density)(area) in 2D, we can use area to find the COM. Density in all of our problems will be constant. Ex. Find the center of mass of the following region. Suppose the density is 5. The center of mass of a triangle ABC can be written x x A x B x C 3 ±±±±±±±±±±± y y A y B y C 3 Ex. Find the center of mass of the following region. δ 1 Ex. Suppose there is a hole in the region. Find the center of mass. 1 Do: Find the center of mass. 1. m 1 = 10 P 1 (1, 2) m 2 = 6 P 2 (5, 0) 2. Let δ 3...
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This note was uploaded on 10/16/2009 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.
 Spring '08
 LLHanks
 Calculus

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