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

A disk is fixed at its centre O and rotating with constant angular vel

1.	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` A. `(v sqrt3)/(2 l)`B. `(v sqrt3)/(2R)`C. `(2sqrt3v)/(R )`D. `(2v)/(l sqrt3)`
Answer» Correct Answer - C

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