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  • A uniform rod of mass length L, area of cross Section A and Young's modulus Y ranges from the ceiling. It's elongation under its own weight will be-  <div class='qna-option'

A uniform rod of mass length L, area of cross Section A and Young's modulus Y ranges from the ceiling. It's elongation under its own weight will be-
 

Option: 1

Zero


Option: 2

\frac{mgL}{2AY}


Option: 3

\frac{mgL}{AY}


Option: 4

\frac{2mgL}{AY}


Answers (1)

Tension at a ditsance x from the bottom,

T=\left ( \frac{mg}{L} \right )\cdot xdt

dl=\frac{T\cdot dx}{AY}

\therefore \Delta l=\int_0^Ldl

\Delta l=\frac{mgL}{2AY}

Posted by

Ramraj Saini

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