Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A uniform elastic plank moves due to a constant force F </span

A uniform elastic plank moves due to a constant force F  placed over a smooth surface. The area of end face is S  and young's modulus of the material is E . What is average strain produced in the direction of the force?

 

Option: 1

\frac{F}{SE}


Option: 2

\frac{F}{2SE}


Option: 3

\frac{F}{4SE}


Option: 4

Zero


Answers (1)

best_answer

Tension at distance x from end  A,
              T_x=F-\frac{F}{L} \cdot x

     

Total change in length,  \Delta l=\int_0^L \frac{T_x d x}{E S}
                                 

                                      \Delta l=\frac{F L}{2 E S}

\therefore  Average strain    =\frac{\Delta \ell}{L} \\
                               =\frac{F}{2 E S}

Posted by

Pankaj

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025, NEET, CUET UG Dates Live: NTA exam calendar awaited at nta.ac.in
anam-khan

JEE Main 2025 session 1 exam in the last week of January; registration details
anam-khan

Over 656 UPSC, JEE, NEET, other coaching aspirants refunded more than Rs 1 crore: Govt

Latest Question