A disc of radius `R` rolls without slipping at speed `v` along positive `x`-axis. Velocity of point `P` at the instant shown in Fig. is

Options

A. `v_(p)=(v+(vr sin theta)/R)i+(v r cos theta)/Rj`
B. `v_(p)=(v+(vr sin theta)/R)i-(v r cos theta)/Rj`
C. `v_(p)=v+(vr sin theta)/R+(vr cos theta)/Rj`
D. `v_(P)=v+(vr sin theta)/Ri-(vr cos theta)/Rj`

Answer

B

Explanation

Hence `omega=v/R`

`v_(p_(x))=(v+v/Rr sin theta)I, v_(p_(y))=-(v/R rcos theta)j`
`V_(p)=(v+(vrsin theta)/R)i-((vrcos theta)/R)j`