MATH 14 Lecture 7: Math 14 Lecture 7_ Center of Mass
2 Feb 2019
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1/30/19: 1-d objects in 1-d space: the center of mass, balance point. 2 1 + m2 x m +m1 m +m1 m x + m x. 2 2: 3 objects: x = m x +m x +m x. 1 (units = kg m = m kg: n objects: x mi i x = n i = 1 n i = 1. Where x for a wire with varying density p (x) kg m mi is total mass. mi n i = 1. 0 x n i = 1 n i =1 xi p x i pi. X n i = 1 n i = 1 mi x i mi b a. 1. x x = p(x)dx x total mass = b a (x)dx p: find x for a wire from kg x = 0 m to x = 1 m if p (x) = . 15 x m x = 1 1 where m x +m x x = m +m1.
