Question

A disc is rolling (without slipping) on a horizontal surface. C is its centre and Q and P are two point equidistanec from C. let `upsilon_(p),upsilon_(Q)` and `upsilon_(C)` be the magnitude of velocities of points P, Q, and C repsectively,
(a). `upsilon_(Q)gtupsilon_(C)gtupsilon_(P)`
(b). `upsilon_(Q)ltupsilon_(C)ltupsilon_(P)`
(c). `upsilon_(Q)=upsilon_(P),upsilon_(C)=(1)/(2)upsilon_(P)`
(d). `upsilon_(Q)ltupsilon_(C)gtupsilon_(P)`

Answer 1

In case of pure rolling bottom most point in the instantaneous centre of zero velocity.
Velocity of any point on the disc, `v=romega` where `r` is the distance of point from `O`.
`r_(Q)gtr_(C)gtr_(P)impliesthereforev_(Q)gtv_(C)ltV_(p)`
Therefore, the correct option is (a).