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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 the length of a supporting wire attached to the roadway 18 m from the middle.

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To solve the problem, we need to find the length of the supporting wire attached to the roadway 18 m from the middle of a uniformly loaded suspension bridge, where the cable hangs in the form of a parabola. ### Step-by-Step Solution: 1. **Understand the Setup**: - The roadway is 100 m long, so the midpoint is at 50 m. - The longest wire (at the ends) is 30 m, and the shortest wire (at the midpoint) is 6 m. ...
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