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A disc of mass 4 kg and radius 6 metre i...

A disc of mass `4 kg` and radius 6 metre is free to rotate in horizontal plane about a vertical fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small balls of mass `2 kg each are placed in it on either side of the centre of the disc as shown in figure. The disc is given initial angular velocity `omega_(0)=12 (rad) / (s)` released. Find the angular speed of disc (in radian/s) when the balls reach the ends to disc.
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