mechanical properties of matter question

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A uniform heavy rod of weight W, cross sectional area A, and length L, is hanging from a fixed support . young's modulus of the rod is Y . Find the elongation of the core.
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1)What will be the answer
2)wont we consider the lateral contraction of the rod??
helppp.....

#Physics #Mechanics

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2 Answers

49

Subhomoy Bakshi ·2010-01-29 11:11:21

nah u dont require to consider the longitudinal change in dimensions....

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49

Subhomoy Bakshi ·2010-01-29 11:20:54

we can do this by two methods...one by integration method...or shorter average force method...

average force=0+W/2=w/2
stress=W/2A
strain=Î”L/L

(W.L/2AÎ”L)=Y
or, Î”L=WL/2AY............solved....verify...[1]

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