If three point masses m₁, m₂, and m3 have position vectors r₁, 2, and r3 respectively, relative to some origin, then the position vector of their centre of mass relative to the origin is given by m₁r₁ + m₂ ₂ + M3 3 (m₁ + m₂ + m3) If the vectors a and b above represent the position vectors of a 2 kg point mass and a 4 kg point mass respectively (where the units of distance are considered to be subsumed within i, j, and k), calculate where a third point mass of 2 kg would need to be positioned to make the centre of mass of the system lie at the position r₂ = i+j+k.

If three point masses m₁, m₂, and m3 have position vectors r₁, 2, and r3 respectively, relative to some origin, then the position vector of their centre of mass relative to the origin is given by m₁r₁ + m₂ ₂ + M3 3 (m₁ + m₂ + m3) If the vectors a and b above represent the position vectors of a 2 kg point mass and a 4 kg point mass respectively (where the units of distance are considered to be subsumed within i, j, and k), calculate where a third point mass of 2 kg would need to be positioned to make the centre of mass of the system lie at the position r₂ = i+j+k.

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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