Suppose we have a disk of radius r and mass m travelling at velocity v. I want to calculate the instantaneous angular momentum with axis through the edge of the disc (on the circumference).
Angular momentum =Iω. I=12mr2+mr2=32mr2 by the parallel axis theorem. ω=vr. Therefore, angular momentum =3mrv2.
Alternatively, angular momentum =p×r=mr×v=mrv.
Why do these two methods differ? Which, if any, are correct?
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