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4. A massless rope is wrapped around a uniform solid cylinder that has radius of 30...

4. A massless rope is wrapped around a uniform solid cylinder that has radius of 30 cm and mass 10 kg, as
shown in the figure. The cylinder begins to unwind when it is released and allowed to rotate.
(a) What is the acceleration of the center of mass of the cylinder?
(b) If 90 cm of rope is unwound from the cylinder as it falls, how fast is it rotating at this instant?

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