Sorry I'm confused how you get to the point of cancelling m out
I always get to this point:
f_{s,max} = \mu_{s}F_{n}
f_{s,max} = \mu_{s} w
f_{s,max} = \mu_{s} mg
f_{s,max} = \mu_{s} \frac{F}{a}g
f_{s,max} = 0.3 \times 9.8\frac{F}{a}
Since I don't have F or a; I get stuck...