If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively, relative to some origin, then the position vector of their centre of mass relative to the origin is given by m¡r, + m2r2 + m3r3 rCOM = (m, + m2 + m3) If the vectors a and b above represent the position vectors of a 3 kg point mass and a 2 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
If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively, relative to some origin, then the position vector of their centre of mass relative to the origin is given by m¡r, + m2r2 + m3r3 rCOM = (m, + m2 + m3) If the vectors a and b above represent the position vectors of a 3 kg point mass and a 2 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
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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![(c) If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively,
relative to some origin, then the position vector of their centre of mass relative to the
origin is given by
m;r, + m2r2 + m3r3
(m, + m2 + m3)
rCOM =
If the vectors a and b above represent the position vectors of a 3 kg point mass
and a 2 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
rCOM = i+j+ k.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7283f0bf-dde0-49f5-a080-df2c7f12c5bd%2F39a92244-7889-4ad6-9fad-090935aa0dc2%2Fdusco4s_processed.png&w=3840&q=75)
Transcribed Image Text:(c) If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively,
relative to some origin, then the position vector of their centre of mass relative to the
origin is given by
m;r, + m2r2 + m3r3
(m, + m2 + m3)
rCOM =
If the vectors a and b above represent the position vectors of a 3 kg point mass
and a 2 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
rCOM = i+j+ k.
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