In your job as a mechanical engineer you are designing a flywheel and clutch$-$plate system like the one in $($Figure $1).$ Disk A is made of a lighter material than disk B $,$ and the moment of inertia of disk A about the shaft is one$-$third that of disk B $.$ The moment of inertia of the shaft is negligible. With the clutch disconnected, A is brought up to an angular speed $\backslash$omega $0$ ; B is initially at rest. The accelerating torque is then removed from A $,$ and A is coupled to B $.($Ignore bearing friction.$)$ The design specifications allow for a maximum of $2200$ J of thermal energy to be developed when the connection is made.What can be the maximum value of the original kinetic energy of disk A so as not to exceed the maximum allowed value of the thermal energy?