A disk is fixed at its centre O and rotating with constant angular velocity `omega`. There is a rod whose one end is connected at A on the disc and the other end is connected with a ring which can freely moce along the fixed vertical smooth rod. At an instant when the rod is making an angle `30^(@)` with the vertical the ring is found to have a velocity v in the upward direction. Find `omega` of the disk. Given that the point A is `R//2` distance above point O and length of the rod Ab is `l`

Options

A. `(v sqrt3)/(2 l)`
B. `(v sqrt3)/(2R)`
C. `(2sqrt3v)/(R )`
D. `(2v)/(l sqrt3)`

Answer

C