Three disks are spinning independently on the same axle without friction. their respective rotational inertias and angular speeds are i,ω (clockwise); 2i,3ω (counterclockwise); and 4i,ω/2 (clockwise). the disks then slide together and stick together, forming one piece with a single angular velocity. what will be the direction and the rate of rotation ωnet of the single piece? express your answer in terms of one or both of the variables i and ω and appropriate constants. use a minus sign for clockwise rotation.