The coefficient of friction between the rope and the support is 0.34
The amount of friction between two surfaces is measured by the coefficient of friction, or. A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.
We have to solve this problem by making use of the Capstan's equation
The equation is given as:
[tex]T_{load } = T_{hold} e^u^o[/tex]
u is μ , the coefficient of friction
o is Φ
the load = 7000
the hold support is 100N
Φ = 2π for a complete rotation
given that the rope is wrapped for 2 times we would have Φ = 4π
then
[tex]7000 = 100e^u^4^\pi[/tex]
take the log of both sides
u = log7000 / 100*4π
u = 0.338
Hence the coefficient of friction from what has been calculated is 0.34
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