(Solved): 2. Two disks are rotating about the same axis. Disk A has a moment of inertia of \( 4.60 \mathrm{~ ...

2. Two disks are rotating about the same axis. Disk A has a moment of inertia of \( 4.60 \mathrm{~kg} \cdot \mathrm{m}^{2} \) and an angular velocity of \( +7.20 \mathrm{rad} / \mathrm{s} \). Disk \( B \) is rotating with an angular velocity of \( -10.6 \mathrm{rad} / \mathrm{s} \). The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of \( -2.80 \mathrm{rad} / \mathrm{s} \). The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk \( B \) ? \[ \mathrm{kg} \cdot \mathrm{m}^{2} \]