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Let pointlike massive objects be positioned at P₁, i = 1,2,..., n, and let m; be the mass at P₁. The point Po is called the center of mass if m₁r₁ + m₂r₂ + .. + Mn³n = 0, where r is the vector from Po to P₁. a. Express the position vector of the center of mass via the position vectors of the point masses. b. Find the center of mass of three point masses, m₁ = m₂ = m² = m, located at the vertices of a triangle ABC for A(1,2,3), B(-1,0,1), and C(1, 1,-1).

Let pointlike massive objects be positioned at P₁, i = 1,2,..., n, and let m; be the mass at P₁. The point Po is called the center of mass if m₁r₁ + m₂r₂ + .. + Mn³n = 0, where r is the vector from Po to P₁. a. Express the position vector of the center of mass via the position vectors of the point masses. b. Find the center of mass of three point masses, m₁ = m₂ = m² = m, located at the vertices of a triangle ABC for A(1,2,3), B(-1,0,1), and C(1, 1,-1).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Let pointlike massive objects be positioned at P₁, i = 1,2,..., n, and let m; be the mass at P₁. The point Po is called the center of mass if m₁r₁ + m₂r₂ + ·•·•· + Mnrn = 0, where r is the vector from Po to P₁. a. Express the position vector of the center of mass via the position vectors of the point masses. b. Find the center of mass of three point masses, m₁ = m₂ = m3 = m, located at the vertices of a triangle ABC for A(1,2,3), B(-1,0,1), and C(1, 1,-1).
Transcribed Image Text:Let pointlike massive objects be positioned at P₁, i = 1,2,..., n, and let m; be the mass at P₁. The point Po is called the center of mass if m₁r₁ + m₂r₂ + ·•·•· + Mnrn = 0, where r is the vector from Po to P₁. a. Express the position vector of the center of mass via the position vectors of the point masses. b. Find the center of mass of three point masses, m₁ = m₂ = m3 = m, located at the vertices of a triangle ABC for A(1,2,3), B(-1,0,1), and C(1, 1,-1).
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