Problem: Consider a cylindrical cable with a hanging weight suspended from it. 3Part (a) When the mass is removed, the length of the cable is found to be L0 = 4.79 m. After the mass is added, the length is remeasured and found to be L1 = 5.31 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 = 0.015 m.  Part (b) If we were to double the radius of the wire and re-suspend the weight, what would happen to the stress in the cable?Part c) If this cable is pulled down a distance d in m from its equilibrium position it acts like spring when released. Write an express determining the spring constant k of this material using the cable-specific variables Y, L1, L0, and r provided in part A

FREE Expert Solution

Part (a). Strain: 

LL0=FAY

Young's Modulus:

Y=FL0AL=mgL0πr2(L1-L0)=(95)(9.81)(4.79)π(0.015)2(5.31-4.79)

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Problem Details

Consider a cylindrical cable with a hanging weight suspended from it. 3

Part (a) When the mass is removed, the length of the cable is found to be L0 = 4.79 m. After the mass is added, the length is remeasured and found to be L1 = 5.31 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 = 0.015 m.  

Part (b) If we were to double the radius of the wire and re-suspend the weight, what would happen to the stress in the cable?

Part c) If this cable is pulled down a distance d in m from its equilibrium position it acts like spring when released. Write an express determining the spring constant k of this material using the cable-specific variables Y, L1, L0, and r provided in part A

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