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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 working equation for a catenary forming cable? What is the computed constant a up to 4 decimal places? What is the catenary equation for the given problem?

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 working equation for a catenary forming cable? What is the computed constant a up to 4 decimal places? What is the catenary equation for the given problem?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solving using Catenary differential equation with complete step by step

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 working equation for a catenary forming cable? What is the computed constant a up to 4 decimal places? What is the catenary equation for the given problem?
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 working equation for a catenary forming cable? What is the computed constant a up to 4 decimal places? What is the catenary equation for the given problem?
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