As shown in figure there is a flat plank at rest on a very slippery...

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As shown in figure there is a flat plank at rest on a very slippery surface You have disc of radius a and mass equal to the mass of the disc say M You rotated the disc with an initial angular speed and carefully placed it on the plank The coefficient of friction between the disc and plank is You noticed that finally when the slipping stops the 50 of the total kinetic energy of the system is lost If the plank is long enough determine the time when slipping stops after placing the disc

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