#1022. Point position given center of mass
Three point masses have position vectors and masses given by:
m1=5kg, m2=9kg, m3=3kg
r1=-6i-8j m, r2=-3i+3j m, r3=unknown m
The center of mass has a position vector rC=i-4j m.
Matlab/Octave Mathematica Python R
from sympy import *
m1=5
m2=9
m3=3
r1=Matrix([-6,-8,0])
r2=Matrix([-3,3,0])
rC=Matrix([1,-4,0])
What is the position vector r3 of m3?
r3=
2i+3j m