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(a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the length of the wire. (b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground, how high up on each pole should the wire be attached? Round your answer to two decimal places. Select the correct answer. L = 14 a sinh L = 4 2a sinh L = 7asinh L = 2a sinh 7a a b 6a b 1 a 7 26.36 ft -b 23.18 ft 35.21 ft 24.72 ft X b

(a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the length of the wire. (b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground, how high up on each pole should the wire be attached? Round your answer to two decimal places. Select the correct answer. L = 14 a sinh L = 4 2a sinh L = 7asinh L = 2a sinh 7a a b 6a b 1 a 7 26.36 ft -b 23.18 ft 35.21 ft 24.72 ft X b

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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(a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the length of the wire. (b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground, how high up on each pole should the wire be attached? Round your answer to two decimal places. Select the correct answer. L = 14 a sinh L = 4 2a sinh L = 7asinh L = 2a sinh 7a a b 6a b 1 a 7 26.36 ft -b 23.18 ft 35.21 ft 24.72 ft X b
Transcribed Image Text:(a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the length of the wire. (b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground, how high up on each pole should the wire be attached? Round your answer to two decimal places. Select the correct answer. L = 14 a sinh L = 4 2a sinh L = 7asinh L = 2a sinh 7a a b 6a b 1 a 7 26.36 ft -b 23.18 ft 35.21 ft 24.72 ft X b
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