A given object takes n times the time to slide down 4 5 ∘ rough inclined plane as it takes the time to slide down an identical perfectly smooth 4 5 ∘ inclined plane. The coefficient of kinetic frictio

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A given object takes n times the time to slide down 4 5 ∘ rough inclined plane as it takes the time to slide down an identical perfectly smooth 4 5 ∘ inclined plane. The coefficient of kinetic friction between the object and the surface of inclined plane is :

TestHub · Accepted Answer

Case-1 : No friction ​ a = g sin θ ℓ = 2 1 ​ ( g sin θ ) t 1 2 ​ t 1 ​ = g sin θ 2 ℓ ​ ​ ​ Case-2 : With friction ​ a = g sin θ − μ g cos θ ℓ = 2 1 ​ ( g sin θ − μ g cos θ ) t 2 2 ​ g sin θ − μg cos θ 2 ℓ ​ ​ = n g sin θ 2 ℓ ​ ​ μ = 1 − n 2 1 ​ ​

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