In: Physics
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m,2.9 kg at (0.0, 3.2) m, and 4.0 kg at (2.7, 0.0) m. Where should a fourth object of 7.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
x = m |
y = m |
Given that
And we have to determine the coordinates of, i.e.,
Since
Thus we have
Similarly
Thus fourth mass should be placed at