The cable between the two towers of a suspension bridge hangs in the shape of the curve T y = W cosh (7). where T' is the tension in the cable at its lowest point and w is the weight of the cable per unit length. This curve is called a catenary. T T ―. The 'sag' of the cable is defined as the W W Suppose the cable stretches between the points x = difference between the height of the cable at the highest and lowest points. Show that the sag of the cable T defined above can be expressed as a multiple of W Sag Enter the missing coefficient in the blank that completes the expression below. Round the answer to three decimal places. = i and x = T W
The cable between the two towers of a suspension bridge hangs in the shape of the curve T y = W cosh (7). where T' is the tension in the cable at its lowest point and w is the weight of the cable per unit length. This curve is called a catenary. T T ―. The 'sag' of the cable is defined as the W W Suppose the cable stretches between the points x = difference between the height of the cable at the highest and lowest points. Show that the sag of the cable T defined above can be expressed as a multiple of W Sag Enter the missing coefficient in the blank that completes the expression below. Round the answer to three decimal places. = i and x = T W
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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Transcribed Image Text:The cable between the two towers of a suspension bridge hangs in the shape of the curve
T
y =
W
cosh (X).
where T is the tension in the cable at its lowest point and w is the weight of the cable per unit length. This
curve is called a catenary.
T
T
and x =
―. The 'sag' of the cable is defined as the
W
W
Suppose the cable stretches between the points x =
difference between the height of the cable at the highest and lowest points. Show that the sag of the cable
defined ove can be expressed as a multiple of
—.
W
Enter the missing coefficient in the blank that completes the expression below.
Round the answer to three decimal places.
Sag =
T
W
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