Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 45P
To determine

ToShow: k=AYL and U=12FΔL if the wire is modeled as a spring.

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A weight W is suspended from a vertical spring whose modulus is “K” N/m. The weight is pulled down “S” m from its equilibrium and then released. Determine its velocity when it returns to its equilibrium position.
A wire of length L, Young’s modulus Y, and crosssectional area A is stretched elastically by an amount ΔL. By Hooke’s law, the restoring force is -k ΔL. (a) Show that k = YA/L. (b) Show that the work done in stretching the wire byan amount ΔL is W = 1/2 YA(ΔL)2/L .
If Young's modulus of a material of wire is 1.2 x 10¹¹ N/m², calculate the work done is stretching the wire of length 3 m and cross- sectional 4 mm², when it is suspended vertically and a load of 8 kg is attached to its lower end.
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