Consider a cylindrical cable with a hanging weight suspended from it. a)When the mass is removed, the length of the cable is found to be l0 = 4.69 m. After the mass is added, the length is remeasured and found to be l1 = 5.33 m. Determine Young's Modulus Y in N/m2 for the steel cable if the weight has a mass m = 95 kg and the cable has a radius r = 0.045 m.  b)When the mass is removed, the length of the cable is found to be l0 = 4.69 m. After the mass is added, the length is remeasured and found to be l1 = 5.33 m. Determine Young's Modulus Y in N/m2 for the steel cable if the weight has a mass m = 95 kg and the cable has a radius r = 0.045 m.  c)If this cable is pulled down a distance d in m from its equilibrium position it acts like a spring when released. Write an expression determining the spring constant k of this material using the cable-specific variables Y , l1, l0, and r provided in part A.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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 Consider a cylindrical cable with a hanging weight suspended from it.

a)When the mass is removed, the length of the cable is found to be l0 = 4.69 m. After the mass is added, the length is remeasured and found to be l1 = 5.33 m. Determine Young's Modulus Y in N/m2 for the steel cable if the weight has a mass m = 95 kg and the cable has a radius r = 0.045 m. 

b)When the mass is removed, the length of the cable is found to be l0 = 4.69 m. After the mass is added, the length is remeasured and found to be l1 = 5.33 m. Determine Young's Modulus Y in N/m2 for the steel cable if the weight has a mass m = 95 kg and the cable has a radius r = 0.045 m. 

c)If this cable is pulled down a distance d in m from its equilibrium position it acts like a spring when released. Write an expression determining the spring constant k of this material using the cable-specific variables Y , l1l0, and r provided in part A. 

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