A disc of mass M and radius R is rolling with angular speed ω on a horizontal plane as shown. The magnitude of angular momentum of the disc about the origin O is
Text Solution
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From the theorem –
.......
We may write
Angular momentum about O = Angular momentum about COM + Angular momentum of COM about origin
∴ L 0 = I ω + MRV
= 
MR 2 ω + MR(R ω )
= 
MR 2 ω
Note that in this case both the terms in equation i.e. 
and M 
have the same direction 
. That is why we have used L 0 = I ω + MRV. We will use L 0 = I ω ~ MRV if they are in opposite directions shown in figure .
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