Measuring Parabolas of a Suspension Bridge - Alex

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To measure the parabolas of a suspension bridge, it's essential to recognize that the vertex of the parabola is located at the center of the bridge, representing the lowest point. The heights at both ends of the bridge are equal, allowing for a symmetrical representation where one end is at (x,h) and the other at (-x,h). Using these points, one can derive the equation of the parabola that defines the suspension cable. Establishing a point of reference is a practical approach to begin measurements. This foundational understanding is crucial for accurately modeling the bridge's shape.
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I was given the assignment to measure the parabolas of a suspension bridge. I have some ideas for how to go about it, like using a point of reference and going out from there. I was wondering if anyone had any other ideas. Thanks!

Alex
 
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Some important aspects about a bridge to note are that:
  1. The vertex of the parabola is at the centre of the bridge, from a side view. This is obvious since it hangs freely and the lowest point would be in the middle.
  2. The heights on each end of the bridge are equal so if the vertex is at (0,0) then one end of the bridge will be at (x,h) and the other end will be at (-x,h).

This is all the information you would need to find the parabola that defines the suspension cable.
 
That is great! thanks for the help.
 
Glad to help :smile:
 
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