Disks A and B are mounted on shaft SS and may be connected or disconnected by cl

Question

Disks A and B are mounted on shaft SS and may be connected or disconnected by clutch C. (See the figure below .) Disk A is made of a lighter material than disk B, so the moment of inertia of disk A about the shaft is one-third that of disk B. The moments of inertia of the shaft and clutch are negligible. With the clutch disconnected,A is brought up to an angular speed w_o The accelerating torque is then removed from A , and A is coupled to disk B by the clutch. (You can ignore bearing friction.) It is found that 3000 J of thermal energy is developed in the clutch when the connection is made.

Explanation / Answer

Ia=1/3 * Ib 1/2* Ia* Wo^2 = 1/2*(Ia+Ib)*W^2 +3000 solve for final W

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