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In a Suspension Bridge, the Shape of the Suspension Cables

Question 218

Multiple Choice

In a suspension bridge, the shape of the suspension cables is parabolic.The bridge shown in the figure has towers that are 1000 m apart, and the lowest point of the suspension cables is 200 m below the top of the towers.Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. ​
NOTE: This equation is used to find the length of the cable needed in the construction of the bridge.
In a suspension bridge, the shape of the suspension cables is parabolic.The bridge shown in the figure has towers that are 1000 m apart, and the lowest point of the suspension cables is 200 m below the top of the towers.Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. ​ NOTE: This equation is used to find the length of the cable needed in the construction of the bridge. ​   ​ A) x <sup>2</sup> = 2,500y B) y <sup>2</sup> = 5,000x C) x <sup>2</sup> = 1,250y D) x <sup>2</sup> = 5,000y E) x <sup>2</sup> = -1,250y


A) x 2 = 2,500y
B) y 2 = 5,000x
C) x 2 = 1,250y
D) x 2 = 5,000y
E) x 2 = -1,250y

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