A disc of radius R rolls without slipping at spped v along positve x-axis. Velocity of point P at the instant shown in figure is

Options

A. `vecV_(p) = (V +(vr sin theta)/R hati + (vr cos theta)/( R))hatj`
B. `vecV_(P) = (V+ (vr sin theta)/(R )hati - (vr costheta)/R) hatj`
C. `vecV_(F) = (vr sin theta)/( R) hati + (vr cos theta)/R hatj`
D. `vecV_(P)= (vr sin theta)/( R) hati - (vr cos theta)/R hatj`

Answer

B

Explanation

Here, `omega =v/R`
`VP_(n) = (v+ v/R r sin theta) hati, VP_(Y) =-(v/R r cos theta) hatj`, `V_(P) = (v+ (v r sintheta)/R) hati - (vr costheta)/R hatj`