Question

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

When the mass is removed, the length of the cable is found to be l₀ = 4.53 m. After the mass is added, the length is remeasured and found to be l₁ = 5.46 m. Determine Young's Modulus Y in N/m² for the steel cable if the weight has a mass m = 85 kg and the cable has a radius r = 0.045 m.

If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct.

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.

Answer 1

* Solution lo=4:53 metre li = 5.46 metre ol= li- lo mass=85 kg r=0.045 metre stress strain FX, De e All (y = Y = - mgiels 8549-61x4.53 A Al : * (0.005)2x (5.46–4:53) - y = 6.38X105 N/m2 If you double the radius there will be Change in Young's modulus Houwere strain would decrease.