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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 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find t

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To solve the problem, we need to find the length of the segment \( PQ \) on the suspension bridge cable, which hangs in the form of a parabola. Here are the steps to find the solution: ### Step 1: Understand the Geometry We have a suspension bridge with a horizontal roadway of length 100 m. The longest vertical wire from the cable to the roadway is 30 m, and the shortest is 6 m. The distance between the points where the wires are attached to the cable is 100 m. ### Step 2: Define the Points Let: - Point \( A \) be the point where the longest wire (30 m) is attached. ...
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