Physics-
General
Easy

Question

What must be the relation between length 'L' and radius 'R' of the cylinder if its moment of inertia about its axis is equal to that about the equatorial axis ?

  1. L = R  
  2. L = 2R  
  3. L = 3R  
  4. L = square root of 3R  

The correct answer is: L = square root of 3R


    fraction numerator m R to the power of 2 end exponent over denominator 2 end fraction = M open parentheses fraction numerator L to the power of 2 end exponent over denominator 12 end fraction plus fraction numerator R to the power of 2 end exponent over denominator 4 end fraction close parentheses
    or fraction numerator R to the power of 2 end exponent over denominator 2 end fraction= fraction numerator L to the power of 2 end exponent over denominator 12 end fraction+ fraction numerator R to the power of 2 end exponent over denominator 4 end fraction
    or L = square root of 3R

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