Reduce angular momentum from Iw to mvr

1. Aug 21, 2014

Aziza

In vector form,

L=Iω.

I am trying to show that for a point particle, this reduces to L=rxp, but am getting an extra factor of r2 :

For the case of a point particle, I=Mr2.
Also, ω=rxv.
Plugging these into L=Iω gives:

L=Mr2(rxv) = r2(rxp).

Thus this reduces to a point particle only for r=1..but that is silly.

I appreciate any help!:)

2. Aug 21, 2014