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A flat, horizontal table makes exactly N rotations per second. You find that when you set a coffee cup of mass M on the table

  A flat, horizontal table makes exactly N rotations per second. You find that when you set a coffee cup of mass M on the table less than or equal to distance R from the center of rotation, the cup slides. If the coefficient of static friction between the cup and the table is μk, what is that distance R?(Give answer for R as an algebraic expression). 

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