Posted by **Navroz** on Sunday, April 18, 2010 at 11:49am.

the lions gate bridge in vancuver BC, is a suspension bridge that spans 1516m. Large cables are attached to the tops of the towers, 50m above the road. the road is suspended from the large cables with small vertical cables, the smallest one being 2m. find a quadratic equation to model the large cable shape.

- math -
**Reiny**, Sunday, April 18, 2010 at 3:27pm
The cables of a suspension bridge do not follow the path of a parabola, but since that is what the question asks for ...

centre is (2,0), one other point is (758,50)

y = a(x-2)^2 + 0 , using the centre

but (758,50) lies on it

50 = a(756)^2

a = 50/574564

y = 25/287282(x-2)^2

The cables of most suspension bridges form a

"catenary" (from the Latin 'catena' for chain)

the general equation is

y = a/2(e^(x/a) + e^(-x/a))

## Answer This Question

## Related Questions

- Math - The Lions Gate bridge in Vancouver is a suspension bridge. The main span ...
- analytic geometry - The main cables of a suspension bridge uniformly distribute...
- Technology - 24. Explain the differences between the four major types of bridges...
- Pre - Cal - ) The main cables of a suspension bridge are 20 meters above the ...
- math - In a suspension bridge, the shape of the suspension cables is parabolic. ...
- Pre - Cal - 1. Find the vertex of the parabola: 4y^2+4y-16x=0 2. Find an ...
- Algebra II - I'm confused.. 1. The cables of a suspension bridge are in the ...
- Algebra 2 - A bridge is designed with cables that connect two towers that rises ...
- precalculus - one section of a suspension bridge has its weight uniformly ...
- Analytic Geometry - A parabolic suspension bridge cable is hung between two ...

More Related Questions