A mass of 30kg is hung from a steel wire of radius 7cm and length of 40m. What should be the minimum radius of wire so that the elastic limit is not exceeded, if the elastic limit for steel is 2.4 x 10^8 N/m2?
A mass of 30kg is hung from a steel wire of radius 7cm and length of 40m. What should be the minimum radius of wire so that the elastic limit is not exceeded, if the elastic limit for steel is 2.4 x 10^8 N/m2?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Transcribed Image Text:A mass of 30kg is hung from a steel wire of radius 7cm and length of 40m. What should be the minimum radius of wire so that the
elastic limit is not exceeded, if the elastic limit for steel is 2.4 x 10^8 N/m2?
Expert Solution
Step 1
Given,
Mass = m = 30 kg
Radius of wire = r = 7 cm = 0.07 m
Length fo the wire = L = 40 m
Elastic limit for the steel = σmax = 2.4 x 108 N/m2
From the mass hung, force on the wire can be calculated by,
P = mg = (30) (9.81) = 294.3 N
Let us represent the minimum required radius by 'rmin',
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