A smooth rod OP is fixed vertically. A disc of mass m and radius R is rolling without slipping at the given instant on a rough horizontal surface as shown. Velocity of centre of mass C of disc is `v_(0)`. A rod AB of length L is connected with disc at A, `R//2` distance vertically up from centre of disc with pin joint (about which it can rotate freely), other end of the rod is attached to a small smooth ring B, which can move freely over rod OP. At an instant rod AB makes an angle `60^(@)` with the vertical. The velocity of ring on the vertical rod at this instant is.

Options

A. `(sqrt(3))/(2)v_(0)`
B. `(3)/(2)v_(0)`
C. `v_(0)`
D. perpendicular to velocity of point Q(Q and C are at same horizontal level)

Answer

A