Physics-
General
Easy

Question

In the figure shown, two identical discs of radius R each are placed on a smooth horizontal plane. Thread unwraps without slack from discs when they move away from each other. At any instant acceleration of centres of disc A and B are a2 and a1 respectively in opposite direction while their angular acceleration are a2 and a1 respectively. If string unwraps from discs without slipping then

  1. a subscript 1 end subscript minus R alpha subscript 1 end subscript equals R alpha subscript 2 end subscript minus a subscript 2 end subscript    
  2. a subscript 1 end subscript minus a subscript 2 end subscript equals R alpha subscript 1 end subscript minus R alpha subscript 2 end subscript    
  3. fraction numerator d to the power of 2 end exponent l over denominator d t to the power of 2 end exponent end fraction equals a subscript 1 end subscript minus a subscript 2 end subscript    
  4. fraction numerator d to the power of 2 end exponent l over denominator d t to the power of 2 end exponent end fraction equals open parentheses a subscript 1 end subscript plus a subscript 2 end subscript close parentheses minus open parentheses R alpha subscript 1 end subscript plus R alpha subscript 2 end subscript close parentheses    

The correct answer is: fraction numerator d to the power of 2 end exponent l over denominator d t to the power of 2 end exponent end fraction equals open parentheses a subscript 1 end subscript plus a subscript 2 end subscript close parentheses minus open parentheses R alpha subscript 1 end subscript plus R alpha subscript 2 end subscript close parentheses

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