An elastic bar of length $' 1 ‵,$ cross sectional area $A$ , Young's modulus of elasticity $E$ and self weight $w$ is hanging

vertically. It is subjected to a load $P$ applied axially at the bottom end. The total elongation of the bar is given by

- 1
  
  $\frac{W 1}{A E} + \frac{P 1}{A E}$
- 2
  
  $\frac{W 1}{2 A E} + \frac{P 1}{A E}$
- 3
  
  $\frac{W 1}{2 A E} + \frac{P 1}{2 A E}$
- 4
  
  $\frac{W 1}{A E} + \frac{P 1}{2 A E}$

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