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A disc of mass m and radius R moves in t...

A disc of mass `m` and radius `R` moves in the `x-y` plane as shown in Fig. The angular momentum of the disc about the origin `O` at the instant shown is

A

`-5/2 mR^(2) omegak`

B

`7/3 mR^(2)omegak`

C

`-9/2 mR^(2)omegak`

D

`5/2 mR^(2) omegak`

Text Solution

Verified by Experts

The correct Answer is:
A
`L=I_(cm)omega+m(vec(r)xxvec(v)_(cm))`
`1/2MR^(2)omegahatk+m(4Rhati+3Rhatj)xx(omegaRhati)`
`=-5/2MR^(2)omegahatk`
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