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(iii) Figure 5.1 shows the mathematical model of a cable which is supported at two points (A and B) at the same elevation. The relationship of the x- and y- coordinates of a point on the cable, s(x, y), and the length of the cable segment, Is (C is the middle point of the cable) is given by Equations 1 and 2. It is known that the distance between A and B (D) is 15 m and the distance of C to the x- axis (c) is 5 m. Calculate the sag of the cable, h. A h D Y C Figure 5.1 s(x, y) B ls = X c sinh ( y² - 1s² = c²

(iii) Figure 5.1 shows the mathematical model of a cable which is supported at two points (A and B) at the same elevation. The relationship of the x- and y- coordinates of a point on the cable, s(x, y), and the length of the cable segment, Is (C is the middle point of the cable) is given by Equations 1 and 2. It is known that the distance between A and B (D) is 15 m and the distance of C to the x- axis (c) is 5 m. Calculate the sag of the cable, h. A h D Y C Figure 5.1 s(x, y) B ls = X c sinh ( y² - 1s² = c²

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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(iii) Figure 5.1 shows the mathematical model of a cable which is supported at two points (A and B) at the same elevation. The relationship of the x- and y- coordinates of a point on the cable, s(x, y), and the length of the cable segment, Is (C is the middle point of the cable) is given by Equations 1 and 2. It is known that the distance between A and B (D) is 15 m and the distance of C to the x- axis (c) is 5 m. Calculate the sag of the cable, h. A h D Y C Figure 5.1 s(x, y) B ls = X c sinh ( y² - 1s² = c²
Transcribed Image Text:(iii) Figure 5.1 shows the mathematical model of a cable which is supported at two points (A and B) at the same elevation. The relationship of the x- and y- coordinates of a point on the cable, s(x, y), and the length of the cable segment, Is (C is the middle point of the cable) is given by Equations 1 and 2. It is known that the distance between A and B (D) is 15 m and the distance of C to the x- axis (c) is 5 m. Calculate the sag of the cable, h. A h D Y C Figure 5.1 s(x, y) B ls = X c sinh ( y² - 1s² = c²
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