A cable hangs between two poles that are 80-ft apart. The two poles are both 40 foot high. Sag is observed in the middle of the cable 5 ft from the ground. Find the length of the cable. What is the general equation for length of the cable S? What are the boundary conditions for finding the total length of the cable S? What is the length of the cable S?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A cable hangs between two poles that are 80-ft apart. The two poles are both 40 foot high. Sag is observed in
the middle of the cable 5 ft from the ground. Find the length of the cable.
What is the general equation for length of the cable S?
What are the boundary conditions for finding the total length of the cable S?
What is the length of the cable S?
If the cable is weighing 2 lbs per foot, find the horizontal tension of the cable.
Transcribed Image Text:A cable hangs between two poles that are 80-ft apart. The two poles are both 40 foot high. Sag is observed in the middle of the cable 5 ft from the ground. Find the length of the cable. What is the general equation for length of the cable S? What are the boundary conditions for finding the total length of the cable S? What is the length of the cable S? If the cable is weighing 2 lbs per foot, find the horizontal tension of the cable.
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