A disc is rolling (without slipping) on a horizontal surface C is its centre and Q and P are two points equidistant from C, Let `V_(P), V_(Q) and V_(C )` be the magnitude of velocities of point P, Q and C respectively, then :

Options

A. `V_(Q)gtV_(C)gtV_(P)`
B. `V_(Q)ltV_(C)ltV_(P)`
C. `V_(Q)=V_(P),V_(C)=(1)/(2)V_(P)`
D. `V_(Q)ltV_(C)gtV_(P)`

Answer

A

Explanation

When the disc rolls without slipping there is no relative motion between contact point O and the ground.
Now in rolling disc
`v=romega` As `omega` = constant
`vpropr` Now `OPltOCltOQ`
`therefore v_(P)ltv_(C)ltv_(Q)`
or `v_(a)ltv_(c)ltv_(p)`