Calculus Level 5

You have been commissioned to build a freely suspended bridge of uniform density across a river of width 20 metres, normal to the edge. Oddly enough, the commissioner asks you to maximise the amount of material used without making it too steep.

Given that the maximum gradient that people can walk on is 0.5, find the required length of material in metres.

Model the bridge as a catenary.

Image credit: Flickr Tim O'Shea

Problem Loading...

Note Loading...

Set Loading...