Physics-
General
Easy

Question

The cylinder shown, with mass M and radius R, has a radially dependent density. The cylinder starts from rest and rolls without slipping down an inclined plane of height H. At the bottom of the plane its translational speed is left parenthesis 8 g H divided by 7 right parenthesis to the power of 1 divided by 2 end exponent Which of the following is the rotational inertia of the cylinder?

  1. fraction numerator 1 over denominator 2 end fraction M R to the power of 2 end exponent    
  2. fraction numerator 3 over denominator 4 end fraction M R to the power of 2 end exponent    
  3. fraction numerator 7 over denominator 8 end fraction M R to the power of 2 end exponent    
  4. M R to the power of 2 end exponent    

The correct answer is: fraction numerator 3 over denominator 4 end fraction M R to the power of 2 end exponent

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