In the diagram, Disk 1 has a moment of inertia of 3.40 kg m^2 and is rotating in the counterclockwise direction with an angular speed of 7.10 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular speed of 9.70 rad/s falls from above onto Disk 1. The two then rotate as one in the clockwise direction with an angular speed of 2.40 rad/s. Determine the moment of inertia of Disk 2.
