There are three masses, M1 = 1 kg, M2 = 3 kg, and M3 = 5 kg.  M1 is located at (0,0); M2 is located at (2, 0); and M3 is located at (1, 1).  (All positions are in meters.)  Find the center-of-mass of this system of masses, with respect to the origin.  Express your answer in unit vector notation, i.e., rcm = xcmi + ycmj where r, i, and j are vectors.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section10.3: Center Of Mass Revisited
Problem 10.2CE
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There are three masses, M1 = 1 kg, M2 = 3 kg, and M3 = 5 kg.  M1 is located at (0,0); M2 is located at (2, 0); and M3 is located at (1, 1).  (All positions are in meters.)  Find the center-of-mass of this system of masses, with respect to the origin.  Express your answer in unit vector notation, i.e.,

rcm = xcmi + ycmj

where r, i, and j are vectors.

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