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The cable of a uniformly loaded suspensi...

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100m long is supported by vertical wires attached to the cable, the longest wire being 30m and the shortest being 6m. Find the length of the supporting wire attached to the roadway 18m from the middle.

Text Solution

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`(##_XI_11_MEX_03_##)`
Let `y^2=4ax` be the equation of parabola, where `(a,b),(50,30),(18,y)` are points on it. putting `(50,30)` in the equation of parabola
`y^2=4ax` we get,
`30^2=4axx50`
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