(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

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.26P: A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what...
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This example, extracted from a mock paper assigned by my lecturer for engineering maths revision, has proven to be quite the formidable challenge. It feels as though I've weathered through countless seasons grappling with it, yet progress remains elusive. Despite my earnest efforts, my search for pertinent information has yielded scant results. Might you be the gallant figure I need, summoned to rescue me from this academic labyrinth?

(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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