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A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg • m2.The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings.A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of .The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure) .What is the angular velocity of the turntable just after the ball is caught?
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