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(8%) Problem 10: Consider a cylindrical cable with a hanging weight suspended from it. 33% Part (a) When the mass is removed, the length

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(8%) Problem 10: Consider a cylindrical cable with a hanging weight suspended from it. 33% Part (a) When the mass is removed, the length of the cable is found to be lo = 4.79 m. After the mass is added, the length is remeasured and found to be l = 5.31 m. Determine Young's Modulus Y in N/m for the steel cable if the weight has a mass m = 95 kg and the cable has a radius r = 0.015 m. Y = 1.23* 107 Y = 1.23E+7 Correct! 33% Part (b) If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct. The stress experienced by the wire would decrease by a factor of 4. Correct! 33% Part (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, 11, lo, and r provided in part A.

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