-
and that's going to be L^2 / 2.
-
So, if you do that you'll get L / 2.
-
I'm not doing every step in the calculus
-
because at this point we should be able to do this without every detail.
-
So, the center of mass of this rod,
-
to nobody's surprise, is right in the midpoint,
-
but it assumes that the rod is uniform,
-
whereas like a baseball bat,
-
thicker at one end and thinner at the other end,
-
of course no one is saying that,
-
but we have assumed the mass per unit length,
-
namely M or this is a fixed number,