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A uniform slender rod of length L, cross-sectional area A and Young’s modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

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  1. fraction numerator 3 F L over denominator 5 blank A Y end fraction    
  2. fraction numerator 2 F L over denominator 5 blank A Y end fraction    
  3. fraction numerator 3 F L over denominator 8 A Y end fraction    
  4. fraction numerator 8 F L over denominator 3 A Y end fraction    

    Answer:The correct answer is: fraction numerator 8 F L over denominator 3 A Y end fractionNet elongation of the rod is

    l equals blank fraction numerator 3 F open parentheses fraction numerator 2 L over denominator 3 end fraction close parentheses over denominator A Y end fraction plus fraction numerator 2 F open parentheses fraction numerator L over denominator 3 end fraction close parentheses over denominator A Y end fraction
    l equals fraction numerator 8 F L over denominator 3 A Y end fraction

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