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. h D ◆ Y C Figure 5.1 s(x, y) B X ls = = c sinh () - (1) y² – 1s² = c² (2)
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. h D ◆ Y C Figure 5.1 s(x, y) B X ls = = c sinh () - (1) y² – 1s² = c² (2)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 20A
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