According to Newton's second law, the particle is in rest (which we can compare to "about to move") if all forces are in equilibrium:
Ox:−mg sinθ−f+F=0,Oy:N−mg cosθ=0,f=μN. Therefore, we see that the force force of friction can be expressed as
f=μmg cosθ, the coefficient of friction can be expressed as
μ=mg cosθf=mg cosθF−mg sinθ. μ=2⋅10 cosθ20−2⋅10 sin30°=0.58.
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