Physics-
General
Easy

Question

A block of mass ‘m’ is pulled by a uniform chain of mass ‘m’ tied to it by applying a force F at the other end of the chain. The tension at a point which is at a distance of quarter of the length of the chain from the free end will be...

  1. fraction numerator 4 F over denominator 5 end fraction    
  2. fraction numerator 7 F over denominator 8 end fraction    
  3. fraction numerator 4 F over denominator 7 end fraction    
  4. fraction numerator 6 F over denominator 5 end fraction    

The correct answer is: fraction numerator 7 F over denominator 8 end fraction


    Tension in the chain at the final end of full length is F = (m+m)a
    Tension in the chain at quarter length from free end,

    T equals open parentheses M plus fraction numerator 3 over denominator 4 end fraction m close parentheses a equals fraction numerator 7 m over denominator 4 end fraction cross times fraction numerator F over denominator 2 m end fraction equals fraction numerator 7 F over denominator 8 end fraction

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