-
you get the second derivative of the center of mass coordinate.
-
So what have I done?
-
I have introduced a fictitious entity,
-
the center of mass.
-
The center of mass is a location X,
-
some kind of a weighted average of x1 and x2.
-
By "weighted", I mean if m1 and m2 are equal,
-
then capital M will be two times that mass
-
and you'll just get (x1 + x2) / 2.
-
The center of mass will sit right in between.
-
But if m1 is heavier,
-
it'll be tilted towards m1;