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).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter4: Two-and-three Dimensional Motion

Section: Chapter Questions

Problem 81PQ: An experimentalist in a laboratory finds that a particle has a helical path. The position of this...

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