Question

(10%) Problem 8: $sig.gif?tid=2M68-7D-94-42-ABFD-18791$ 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 l₀ = 4.55 m. After the mass is added, the length is remeasured and found to be l₁ = 5.21 m. Determine Young's Modulus Y in N/m² for the steel cable if the weight has a mass m = 65 kg and the cable has a radius r = 0.045 m.

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. $sig.gif?tid=2M68-7D-94-42-ABFD-18791$
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 , l₁, l₀, and r provided in part A.

Answer 1

given that L -5.21 Stoo.ouson to 4.55m, m=65kg Panta) ya mglo/ ar se 65(9-3)(4.55) Corous] [ 5.21-4.55] 2.898.35 4.23163 -690083-33 wmv when sicdius increases the double Pants strees on a ong/2(20) a + (stress) Parte y alam sello T - Yzar.se or comparing T = ksx koyar.