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angular velocity and work done by the tension

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The 0.2 kg ball ( ball is sliding not rotating) and the supporting cord are revolving about the vertical axis on the fixed smooth conical surface with an angular velocity of W = 4 radians/sec. The green ball is held in position b = .3 m by the tension T in the yellow cord.
If b is reduced to the constant value of 0.2 m by increasing T in the cord, compute the new angular velocity W and the work U, done on the system by T.

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Rotation and Angular Momentum are investigated. The solution is detailed and was rated '5/5' by the student who originally posted the questions.

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