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A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions T subscript 1 end subscript and T subscript 2 end subscript is

  1. 1:1    
  2. 1:square root of 3    
  3. square root of 3 colon 1    
  4. 1:3    

The correct answer is: square root of 3 colon 1


    From figure in equilibrium position
    T subscript 1 end subscript s i n 30 degree equals T subscript 2 end subscript s i n 60 degree
    or T subscript 1 end subscript cross times fraction numerator 1 over denominator 2 end fraction equals T subscript 2 end subscript cross times fraction numerator square root of 3 over denominator 2 end fraction
    or fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction equals square root of 3

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