Problem 45373. Hanging cable - 01
The height of the poles is h the length of the cable is l
u need to find the minimum distance between the poles which will prevent the cable from touching the ground.
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@william
i'll try to fix the bugs of this problem soon.
Meanwhile would u kindly elaborate ur last line
Asif,
Yes, what I was trying to say is that if the only clearance is that which is provided by the catenary curve y=a*cosh(x/a) itself, then you are not allowed to specify a cable length that is more than twice the height of the poles. That is because there will be some (typically small) values of pole separation at which the cable will hit the ground. It's not that there would not be a larger value of pole separation at which the cable had the specified length. A solution would undoubtedly exist. It's just that having the cable lying on the ground for small separation would introduce some ambiguity about the problem. The only way to avoid this, for long cables, would be to add an additional clearance that was large enough to keep the cable off the ground even when the pole separation went to zero. Anyway, I noticed that some of the current test problems violate this rule, and would require a third input parameter that specifies what the added clearance is.
Recommended: http://euclid.trentu.ca/aejm/V4N1/Chatterjee.V4N1.pdf
As said by William, the curve is a catenary. Unless you are familiar with such type of curves, it is best to read about them first.
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