Question

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

Answer 1

$\huge \mathbb\fcolorbox{black}{lavenderblush}{Answer♡}$

Step-by-step explanation:

$let \: {y}^{2 } = 4ax \: be \: the \: equation \: of \: parabola \: where$

(a,b), ( 50,30), (18,y)are points on it

Putting (50,30) in the equation of parabola

${y}^{2} = 4ax \: we \: get \: \\ {(30)}^{2} = 4a \times 50 \\ a = \frac{900}{200} \\ a = \frac{9}{2} \\ now \: equation \: is \: \\ {y}^{2} = {4}^{2} \times 9x \: \: \: \: \: \: {y}^{2} = 18x \\ let \: the \: length \: of \: the \: wire \: at \: x = 18 \: be \: y \: meter\: \\ {y}^{2} = 4 \times \frac{9}{2} \times 18 \\ {y}^{2} = 2 \times 9 \times 18 \\ {y}^{2} = 324 \\ {y}^{2} = (18) ^{2} \\ y = 18m$

◜‿◝ why not

Answer 2

Answer:

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never ever

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saranghae