A thick rubber rope of length L, density r and Young’s modulus Y is hung from the ceiling of a room. What is the increase in its length due to its own weight?
Jayant Kumar
12 Years agoGrade 11
1 Answer
Vikas TU
6 Years ago
As the weight of wire acts at centre of gravity. Therefore only half the length of the wire gets extended Now Y=F/A.(L/2)/△t=Mg(L/2)/A△l ∴△l=ρL^2g/2Y
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