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aaronfue
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Homework Statement
A 55 lb force is required to lift a 25 lb tire off the ground with a rope wrapped half way around a tree branch. How much force is required to keep a 55 lb girl lifted with the rope wrapped 1.5 wraps around the tree branch?
Homework Equations
T2 = T1eμβ
The Attempt at a Solution
Since I wasn't given a coefficient of friction, my first thought is to figure that out. So far here is how:
T2 = 55
T1 = 25
55lb = 25eμ[itex]\pi[/itex]
By taking the natural log of both sides ln([itex]\frac{55}{25}[/itex]) = .788
Then dividing that by [itex]\pi[/itex] → μ = 0.251
Now using my coefficient:
T2 = ?
T1 = 80
T2 = 80e0.251*3[itex]\pi[/itex]
I'm getting an extremely unrealistic number for this, so I'm not sure where my errors are.
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