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An object of mass m is on a frictionless table rotating with a given tangential speed...

An object of mass m is on a frictionless table rotating with a given tangential speed vo with a radius of string ri. The string goes down through a hole (no friction) in the table where a given applied force, FA pulls down on the string a given distance d. Then, the object still keeps rotating but in a smaller and smaller circle. Find the final speed of the object after the rope was pulled down the distance d.

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