Two identical masses on a horizontal turntable are located at different distances from the center of the turntable. As the turntable's rotation rate increases, which mass slides off the turntable first?
Slipping Criterion: If the mass doesn't slip, the only horizontal force is static friction fs that points toward the center of the turntable.
Newtons's second law then is Σ Fr = fs = m ar. (1)
Now use the following facts:
Conclusion: the slipping criterion is ω2r > μsg or r > μsg/ω2.
For a given ω, a mass at a larger radius slips, while a mass at a
smaller radius does not. The outer masses slip