-
it has to go along a circle with that as the radius.
-
So, the momentum p will look like that,
-
and the r measured from any point will look like this
-
r cross p, which is what I'm calling L;
-
the length of L will be r cross p,
-
the lengthy of r cross p, which will be r.
-
For p, let me write m·v,
-
v is tangential velocity here.
-
But we both know that that is equal to m times ω times r
-
because the tangential velocity is ω·r.
-
That something we did long back.
-
But then this becomes m·ω^2·r.