-
and I walk into this room and I say this,
-
you will say, "Well, this guy's talking about a body of mass, M,
-
undergoing some acceleration due to the force."
-
So, the center of mass is the body
-
whose mass seems to be the total mass of these two particles,
-
whose acceleration is controlled by the same as Newton's law,
-
but the right-hand side contains only the external forces;
-
this is the key.
-
All the internal forces have canceled out,
-
and what remains is the external force.
-
Now it turns, if you've got three bodies,
-
you can do a similar manipulation.