(Ill) A wheel with rotational inertia I = \M R 2 about

Chapter , Problem 80

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(Ill) A wheel with rotational inertia I = \M R 2 about itscentral axle is set spinning with initial angular speed a>0 and isthen lowered onto the ground so that it touches the groundwith no horizontal speed. Initially it slips, but then begins tomove forward and eventually rolls without slipping, (a) Inwhat direction does friction act on the slipping wheel?(b) How long does the wheel slip before it begins to rollwithout slipping? (c) What is the wheels final translationalspeed? [Hint Use 2 F = ma, 2 t cm = ICM ciCM, and recallthat only when there is rolling without slipping is -yCM = a>i?.]

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