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| PAGE: 153 | SET: Exercises | PROBLEM: 13 |
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 meters apart.
Hence the poins are 
, 
and 
.
The general form of equation is 
.
Substitute in .
Substitute 
in .
Substitute 
in .
Substitute 
in the equation 
- 
Substitute in the equation 
. - 
Substract equation 
from equation 
.
Therefore 
is
Substitute and 
in the equation .
Substitute above value in 
Therefore the height of the parabola is 
.
TSubstitue 
in the above equation
.
The height of the cable is 
.
The height of the cable is 
.
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