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

Options

A. `(5)/(2)mR^(2)omega`
B. `(7)/(3)mR^(2)omega`
C. `(9)/(2)mR^(2)omega`
D. `(3)/(2)mR^(2)omega`

Answer

1

Explanation

`overset(rarr)L_(0)=I_(cm)overset(rarr)omega+m(overset(rarr)rxxoverset(rarr)v)`
`=(1)/(2) mR^(2)omegahat(k)-3mR^(2)omegahat(k)`
`=-(5)/(2)mR^(2)omegahat(k)`