The figure shows a system consisting of (i) a ring the outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed `omega` and (ii) an inner disc of radius 2R rotating anti clockwise with angular speed `omega//2.` The ring and disc are separted. The point P on the inner disc is at a distance R from the origin, where OP makes an angle of `30^@` with the horizontal. Then with respect to the horizontal surface,

Options

A. The point O has a linear velocity 3Ron
B. The point P has a linear velocity `11/4RomegahatI+sqrt3/2Romegahatk`
C. The point P has a linear velocity `13/4RomegahatI+sqrt3/4Romegahatk`
D. The point P has a linear velocity (3-sqrt3/4)RomegahatI+1/4Romegahatk`