Your task is to design a light‐weight tie of length L with a circular cross‐ section of radius R. It must carry an axial force F, without stretching by more than δ. You will  need to choose the material (with Young’s modulus E and density ρ) and the corresponding cross section radius to suit your choice of material, i.e. R is a “free variable”, a) Show that the extension of the tie is given by δ = FL/AE, where A =

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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Your task is to design a light‐weight tie of length L with a circular cross‐
section of radius R. It must carry an axial force F, without stretching by more than δ. You will 
need to choose the material (with Young’s modulus E and density ρ) and the corresponding cross
section radius to suit your choice of material, i.e. R is a “free variable”,
a) Show that the extension of the tie is given by δ = FL/AE, where A = πR2

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