Consider a cylindrical cable with a hanging weight suspended from it. Part (a) When the mass is removed, the length of the cable is found to be l, = 4.51 m. After the mass is added, the length is remeasured and found to be l = 5.46 m. Determine Young's Modulus Y in N/m- for the steel cable if the weight has a mass m = 65 kg and the cable has a radius r= 0.035 m. Part (b) If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct. 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,l, lo, and r provided in part A.

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Consider a cylindrical cable with a hanging weight suspended from it.
Part (a) When the mass is removed, the length of the cable is found to be lo= 4.51 m. After the mass is added, the length is remeasured and found
to be l = 5.46 m. Determine Young's Modulus Y in N/m for the steel cable if the weight has a mass m = 65 kg and the cable has a radiusr = 0.035 m.
Part (b) If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct.
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, l1, lo, and r provided in part A.
Transcribed Image Text:Consider a cylindrical cable with a hanging weight suspended from it. Part (a) When the mass is removed, the length of the cable is found to be lo= 4.51 m. After the mass is added, the length is remeasured and found to be l = 5.46 m. Determine Young's Modulus Y in N/m for the steel cable if the weight has a mass m = 65 kg and the cable has a radiusr = 0.035 m. Part (b) If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct. 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, l1, lo, and r provided in part A.
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