Let's apply the Newton's Second Law of Motion in projections on axis x- and y:
∑Fx=max,∑Fy=may=0,Fappl−mgsinθ−Ffr=ma,(1)N−mgcosθ=0,(2)Fappl−mgsinθ−μN=ma,N=mgcosθ,Fappl−mgsinθ−μmgcosθ=ma.From this equation we can find the coefficient of friction between the body and the plane:
μ=mgcosθFappl−mgsinθ−ma,μ=2 kg⋅9.8 s2m⋅cos23∘20 N−2 kg⋅9.8 s2m⋅sin23∘−2 kg⋅1.5 s2m=0.52.Answer:
μ=0.52.
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