Halliday, Resnick & Walker — Rotation: Problem Problem_97

Coin on turntable. A coin is placed a distance \( R \) from the center of a phonograph turntable. The coefficient of static friction is \( \mu_s \). The angular spin of the turntable is slowly increased. When it reaches \( \omega_0 \), the coin is on the verge of sliding off. Find \( \omega_0 \) in terms of \( \mu_s \), \( R \), and \( g \).