Answered: A homogeneous prismatic bar hangs from…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

(i) A homogeneous prismatic bar hangs from a ceiling verticallydownwards under its own weight. The bar has density,?,Length, L and cross-sectional area, A. Show that the total elongation of the bar is given by Eq. (1):

Expert Solution

Step 1: Given data

Given-

$A space equals space U n i f o r m space c r o s s space s e c t i o n a l space a r e a space o f space t h e space b a r space space E space equals space Y o u n g ’ s space m o d u l u s space f o r space t h e space b a r space space L space equals space L e n g t h space o f space t h e space b a r space space rho space equals d e n s i t y space o f space t h e space b a r comma space p e r space u n i t space l e n g t h$

To prove-

Total elongation of the bar is given by

$delta equals fraction numerator rho g L squared over denominator 2 E end fraction$

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