Given in question, the mass rests under the action of Force,
this shows that it is in Equilibrium.
Weight of mass = mg
Frictional force = μW = μmg .......(i)
After resolving the Force in x-component, we get Fcos30º ......(ii)
Since the system is in equilibrium, from (i) and (ii)
Fcos30º = μmg
F\(\sqrt3/2\) = μmg
μ = \(F\sqrt3/2mg\) .........(iii)
We know, Frictional force, Fs = μW = μmg
From (iii),
Fs = \(F\sqrt3/2mg \times mg\)
Fs= \(F \sqrt3 /2\)
Answer.