Two rectangular blocks are stacked on a table. The upper block has a mass of m2 and the lower mass is m1 > m2. The coefficient of kinetic friction between the lower block and the table is ųk. The coefficient of static friction between the two blocks is ųk. A string is attached to the lower block, and an external force is applied horizontally, pulling on the string to the right.

without solving the problem, draw appropriate free body diagrams, and write the correct Newton law for the problem.
Determine the maximum force that can be applied to the string without having the upper block sliding off. You have to show the net force in the component directions and consider the acceleration of all objects.
hint: think carefully about what is being accelerated and in which direction the upper block will want to slip.