Consider a cylindrical cable with a hanging weight suspended from it. a. When the mass is removed, the length of the cable is found to be l0 = 4.78 m. After the mass is added, the length is remeasured and found to be l1 = 5.39 m. Determine Young's Modulus Y in N/m2 for the steel cable if the weight has a mass m = 55 kg and the cable has a radius r = 0.015 m.  b. If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct.  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.

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).