F(friction) = μN
F(friction) = μ(mgcosθ)
μ = F(friction)/(mgcosθ)
μ = 4.05 /(3*10*cos65) = 0.319
For constant velocity, F(net) = 0
F(net) = F(weight component along plane) - F(friction)
F(weight component along plane) = F(friction)
mgsinθ = μN
mgsinθ = μmgcosθ
tanθ =μ
tanθ = 0.319
θ = 17.7°
3*g*cos(65°)*coefficient = 4.05 N
b) At what incline (measured in degrees) will the box slide at a constant velocity?
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Verified answer
F(friction) = μN
F(friction) = μ(mgcosθ)
μ = F(friction)/(mgcosθ)
μ = 4.05 /(3*10*cos65) = 0.319
For constant velocity, F(net) = 0
F(net) = F(weight component along plane) - F(friction)
F(weight component along plane) = F(friction)
mgsinθ = μN
mgsinθ = μmgcosθ
tanθ =μ
tanθ = 0.319
θ = 17.7°
3*g*cos(65°)*coefficient = 4.05 N
b) At what incline (measured in degrees) will the box slide at a constant velocity?