A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5 meters. Because ofits weight, the wire has a deflection at its center which is equal to 5 centimeters. The shape of the deflectedwire is parabola.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A 24 meter long tension wire is tied firmly between two vertical
poles with identical height of 5 meters. Because of its weight, the
wire has a deflection at its center which is equal to 5 centimeters.
The shape of the deflectedwire is parabola.
(a) Write an equation of the parabola. (Assume that the
origin is at the foot of the left pole.)
(b) How far is the center of the beam to the wire's 1 cm deflection?
Transcribed Image Text:Try This! A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5 meters. Because of its weight, the wire has a deflection at its center which is equal to 5 centimeters. The shape of the deflectedwire is parabola. (a) Write an equation of the parabola. (Assume that the origin is at the foot of the left pole.) (b) How far is the center of the beam to the wire's 1 cm deflection?
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