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A bobbin rolls without slipping over a h...

A bobbin rolls without slipping over a horizontal surface so that the velocity v of the end of the thread (point A) is directed along the horizontal . A board hinged at point B leans against the bobbin (Fig.) The inner and outer radii of the bobbin are r and R respectively. Determine the angular velocity `omega` of teh board as a function of an angle `alpha`.

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