HW3_2 A catenary cable is one hung between two points not in the same vertical line. It is subjected to no load other than its own weight. The height of the cable, y as a function of the distance x is given by ΤΑ y == cosh W W ¹ (1 x) x + yo - ΤΑ W where, the parameter, TA = 1200 N, weight per unit length of the rope, w = 10 N/m and the height of the lowest point, yo = 5m. Use secant method to find, correct to 4 significant figures, the distance x at which the height, y = 15m. Print your final answer with an informative sentence.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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HW3_2 A catenary cable is one hung between two points not in the same vertical line. It is subjected to
no load other than its own weight. The height of the cable, y as a function of the distance x is given by
W
ΤΑ
¹ (= x ) + 9₁ - 1 / 1
yo
ΤΑ
W
-
ΤΑ
cosh
y =
W
where, the parameter, TA = 1200 N, weight per unit length of the rope, w = 10 N/m and the height of
the lowest point, yo 5m. Use secant method to find, correct to 4 significant figures, the distance x at
which the height, y 15m. Print your final answer with an informative sentence.
Transcribed Image Text:HW3_2 A catenary cable is one hung between two points not in the same vertical line. It is subjected to no load other than its own weight. The height of the cable, y as a function of the distance x is given by W ΤΑ ¹ (= x ) + 9₁ - 1 / 1 yo ΤΑ W - ΤΑ cosh y = W where, the parameter, TA = 1200 N, weight per unit length of the rope, w = 10 N/m and the height of the lowest point, yo 5m. Use secant method to find, correct to 4 significant figures, the distance x at which the height, y 15m. Print your final answer with an informative sentence.
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