Thanks for your help, I figured out that I had to set the two equations equal to each other and found out that the centripetal force is greater than the frictional force, which means it always slides. In effect meaning that the problem has no solution and my gut reaction was right.
I have a new...
Suppose a nickel sits on a flat turntable that spins at 78 rpm (revolutions per minute) while sitting on a horizontal surface. The nickel is 15 cm from the center of the turntable. What is the minimum coefficient of friction that keeps the nickel on the turntable?
Relevant equations: I am...