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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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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