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Engineering Maths · Q160

Calculus

Engineering and GATE · Engineering Maths · question 160

Q160

A parabolic cable is held between two supports at the same level. The horizontal span between the supports is L. The sag at the mid-span is h. The equation of the parabola is \[ y = 4 h ( x^2 L^2 )\] , where x is the horizontal coordinate and y is the vertical coordinate with the origin at the centre of the cable. The expression for the total length of the cable is

A parabolic cable is held between two supports at the same level. The horizontal span between the supports is L. The sag at the mid-span is h. The equation of the parabola is  , where x is the horizontal coordinate and y is the vertical coordinate with the origin at the centre of the cable. The expression for the total length of the cable is
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B.
C.
D.
Answer

Answer: Option D

Solution

Answer: Option D
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