A small coin of mass m m\,m is placed on a horizontal, rotating turntable at a distance r r\,r from the central axis of rotation. The maximum static frictional force between the coin and the turntable remains constant. The maximum angular speed of the turntable before the coin begins to slip is ω\omegaω.
Which relationship correctly describes how ω \omega\,ω depends on rrr?
ω2∝r\omega^2 \propto rω2∝r
ω∝r2\omega \propto r^2ω∝r2
ω2∝1r\omega^2 \propto \frac{1}{r}ω2∝r1
ω∝1r\omega \propto \frac{1}{r}ω∝r1
