JEE Advanced Model Paper 17 with solutions for online practice

Two beads of mass m and 2m are connected by a massless rod of length R and threaded ontoa smooth circular wire of radius R. When the wire rotates uniformly about a verticaldiameter, the beads do not slide on it and rod remains vertical as shown. What must be theangular velocity (in rad/s) of the wire ?
Radius R =

5

3

m