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Each pulley in below has radius r and moment of inertia I. The acceleration of the block is (M>m)

  1. fraction numerator left parenthesis M minus m right parenthesis g over denominator open parentheses M plus m plus fraction numerator 2 l over denominator r to the power of 2 end exponent end fraction close parentheses end fraction    
  2. fraction numerator left parenthesis M minus m right parenthesis g over denominator open parentheses M plus m minus fraction numerator 2 l over denominator r to the power of 2 end exponent end fraction close parentheses end fraction    
  3. fraction numerator left parenthesis M minus m right parenthesis g over denominator open parentheses M plus m plus fraction numerator I over denominator r to the power of 2 end exponent end fraction close parentheses end fraction    
  4. fraction numerator left parenthesis M minus m right parenthesis g over denominator open parentheses M plus m minus fraction numerator I over denominator r to the power of 2 end exponent end fraction close parentheses end fraction    

The correct answer is: fraction numerator left parenthesis M minus m right parenthesis g over denominator open parentheses M plus m plus fraction numerator 2 l over denominator r to the power of 2 end exponent end fraction close parentheses end fraction

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