SOLUTION: A flexible chain hangs from the tops of two poles of equal length whose bases are at x = +-L. The height of of the chain above the ground (y=0) is given by y=acosh(x/a). A) If the

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: A flexible chain hangs from the tops of two poles of equal length whose bases are at x = +-L. The height of of the chain above the ground (y=0) is given by y=acosh(x/a). A) If the      Log On


   

Question 1027567: A flexible chain hangs from the tops of two poles of equal length whose bases are at x = +-L. The height of of the chain above the ground (y=0) is given by y=acosh(x/a).
A) If the poles are 4m high, find L.
B) The lowest point of the chain is at x=0, where the chain is 2m above the ground. Find a.
C) Provide a graph for the resulting catenary.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4=a%2Acosh%28L%2Fa%29
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2=a%2Acosh%280%2Fa%29
a=2
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So then,
4=2%2Acosh%28L%2F2%29
cosh%28L%2F2%29=2
L%2F2=1.32
L=2.64m
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