Two identical 0.40kg balls are attached to the ends of a light 1.2m rod, forming a dumbbell that rotates in a horizontal plane about a frictionless vertical axle through its center. The dumbbell spins at 3.0rad/s. One ball suddenly slides along the rod and locks in place 0.20m from the axle, while the other ball remains 0.60m from the axle. Find the new angular speed of the system.