The vertical shaft is rotating with an angular velocity of 3 rad/s when θ = 0°. If a force F is applied to the collar so that θ = 90°, determine the angular velocity of the shaft. Also, find the work done by force F. Neglect the mass of rods GH and EF and the collars I and J. The rods AB and CD each have a mass of 10 kg.

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