Investigation 11 The main span of the Clifton Suspension E 26.2 m. The supporting cable for the main Poriting 1 The parabola shown in the graph mod the supporting cable of the main spam Clifton Suspension Bridge and the gre segments represent the towers. Write down the values of r, s and t.
Investigation 11 The main span of the Clifton Suspension E 26.2 m. The supporting cable for the main Poriting 1 The parabola shown in the graph mod the supporting cable of the main spam Clifton Suspension Bridge and the gre segments represent the towers. Write down the values of r, s and t.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4
Factual Which form of the quadratic function did you use and why?
5 Define the variables in your function.
6 Conceptual question How can the quadratic function help you answer questions about the
supporting cable of the Clifton Suspension Bridge?
7 Find the height of the supporting cable from the road deck at a point 24 m from a tower.
8 Suppose there are vertical cables with length 2.75 m, attaching the supporting cable to the road deck.
Find the distance of these cables from the left-hand tower.
Transcribed Image Text:Investigation 11
The main span of the Clifton Suspension Bridge in Bristol, UK is about 194 m long. The height of the towers is
26.2 m. The supporting cable for the main span of the bridge touches the road deck at the centre of the span.
1 The parabola shown in the graph models
the supporting cable of the main span of the
Clifton Suspension Bridge and the green line
segments represent the towers.
Write down the values of r, s and t.
0
(0,r)
(t,r)
X
(s, 0)
(t,0)
2 Consider the three forms of the equation of a quadratic function you have studied. For each of these
forms the values of some of the parameters are equal to r, s or t.
y = a (x - h)² + k
y = ax² + bx+c
y = a (x-p)(x-q)
Replace the appropriate parameters in each equation with the values of r, s and t.
3 Choose one of the equations from question 2 and find any other missing parameters to complete a quadratic
function that models the supporting cable.
Continued on next page
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