Answered: Static climbing ropes are designed to…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Similar questions

During a tensile strength experiment, a small diameter fibre is elongated by a force of 0.0250 N. The fibre has an initial length of 0.200 m and stretches 4 x 102 m. Determine the diameter of the fibre? The Young's modulus for the material being tested is 7.60 x 1010 Pa.
A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far will it stretch? Young's modulus for steel is 2.0 × 10^11 pa
Consider a square-faced beam supporting a section of a building. a) Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m. b) Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.

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Static climbing ropes are designed to be relatively stiff so that they stretch less than dynamic ropes. To meet a certain specification, an 11-mm-diameter rope must experience a maximum elongation of 5.0% when supporting a 150 kg load. What is the minimum Young’s modulus?