Reduce angular momentum from Iw to mvr

[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!:)

 

[jtbell]

Also, ω=rxv.

You're missing a factor of 1/|r|² = 1/r² here:

http://en.wikipedia.org/wiki/Angular_velocity#Particle_in_three_dimensions