A system is shown in fig. Assume that the cylinder remains in contact with the two wedges. Then the velocity of cylinder is
Velocity compounds perpendicular to the contact surface remain same.
As cylinder will remain in contact with wedge A. Fig.
As it also remain in contact with wedge B.
u sin30o=vycos30o−vxsin30o
Vy=Vxsin30ocos30o+u sin30ocos30o=3u tan30o=√3u
⇒V=√V2x+V2y=√7u