A string is wrapped around a uniform solid cylinder of
Chapter , Problem 124(choose chapter or problem)
A string is wrapped around a uniform solid cylinder of radius R and mass M that rests on a horizontal frictionless surface. (The string does not touch the surface because there is a groove cut in the surface to provide space for the string to clear.) The string is pulled horizontally from the top with force F. (a) Show that the magnitude of the angular acceleration of the cylinder is twice the magnitude of the angular acceleration needed for rolling without slipping, so that the bottom point on the cylinder slides backward against the table. (b) Find the magnitude and direction of the frictional force between the table and cylinder that would be needed for the cylinder to roll without slipping. What would be the magnitude of acceleration of the cylinder in this case?
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