Two blocks rest on a horizontal frictionless surface as shown. The surfaces between the top and bottom blocks is roughened so that there is no slipping between the blocks. A 30-N force is applied to the bottom block as shown in the figure.

  1. Determine the acceleration of the two-block "system"
  2. What is the force of static friction betwen the top and bottom blocks?
  3. What is the minimum μs necessary to keep the top block from slipping on the bottom block?