solution: part a.

There is no movement in the system, but it is on the verge of slipping, so the force exerted by static friction is at its maximum.
Mass 2:

eqnarray8

Mass 1:

eqnarray15

We plug in what we just got for T into the equation for T from Mass 2 and solve for tex2html_wrap_inline30

eqnarray19

tex2html_wrap46