The system is initially rotating freely with angular velocity w₁ = 10 rad/s when the inner rod A is centered lengthwise within the hollow cylinder B as shown in the figure. Determine the angular velocity of the system (a) if the inner rod A has moved so that a length b/2 is protruding from the cylinder, (b) just before the rod leaves the cylinder, and (c) just after the rod leaves the cylinder. Neglect the moment of inertia of the vertical support shafts and friction in the two bearings. Both bodies are constructed of the same uniform material. Use the values b = 400 mm and r = 20 mm, and refer to the results of Prob. B /34 as needed.

4 4 4 4 2r.