Two disks are rotating about the same axis. Disk A has a moment of inertia of $7\mathrm{.}33kg*m^2$ and an angular velocity of $+2\mathrm{.}20ra\frac{d}{s}.$ Disk B is rotating with an angular velocity of $-8\mathrm{.}53ra\frac{d}{s}.$ 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 $-2\mathrm{.}79ra\frac{d}{s}.$ 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$?$

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