Halliday, Resnick & Walker — Force and Motion–II: Problem 22_M_GO

In Fig. 6.12, a sled is held on an inclined plane by a cord pulling directly up the plane. The sled is to be on the verge of moving up the plane. In Fig. 6.17, the magnitude \(F\) required of the cord’s force on the sled is plotted versus a range of values for the coefficient of static friction \(\mu_s\) between sled and plane: \(F_1 = 2.0 \text{ N}\), \(F_2 = 5.0 \text{ N}\), and \(\mu_2 = 0.50\). At what angle \(\theta\) is the plane inclined?