a turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg * m^2. The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis through its center on friction less bearings. A very small 0.4kg ball is projected horizontally towards the turntable axis with a velocity of 3.0 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable. What is the angular velocity of the turntable just after the ball is caught?

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