Chapter 12, Problem 12.67CP

Figure P12.67 shows a vertical force applied tangentially to a uniform cylinder of weight F_g. The coefficient of static friction between the cylinder and all surfaces is 0.500. The force $\stackrel{\to }{\text{P}}$ is increased in magnitude until the cylinder begins to rotate. In terms of F_g find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: Show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping.