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A disc of radius R rolls without slippin...

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

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`

Text Solution

Verified by Experts

The correct Answer is:
B
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`
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