Halliday, Resnick & Walker — Force and Motion–II: Problem 90

In Fig. 6.49, a block weighing $22\text{ N}$ is held at rest against a vertical wall by a horizontal force $\vec{F}$ of magnitude $60\text{ N}$. The coefficient of static friction between the wall and the block is $0.55$, and the coefficient of kinetic friction between them is $0.38$. In six experiments, a second force $\vec{P}$ is applied to the block and directed parallel to the wall with these magnitudes and directions: (a) $34\text{ N, up}$, (b) $12\text{ N, up}$, (c) $48\text{ N, up}$, (d) $62\text{ N, up}$, (e) $10\text{ N, down}$, and (f) $18\text{ N, down}$. In each experiment, what is the magnitude of the frictional force on the block? In which does the block move (g) up the wall and (h) down the wall? (i) In which is the frictional force directed down the wall?