Physics-
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Question

Mass m shown in the figure is in equilibrium. If it is displaced further by x and released find its acceleration just after it is released. Take pulleys to be light & smooth and strings light.

  1. fraction numerator 4 k x over denominator 5 m end fraction    
  2. fraction numerator 2 k x over denominator 5 m end fraction    
  3. fraction numerator 4 k x over denominator m end fraction    
  4. none of these a    

The correct answer is: fraction numerator 4 k x over denominator m end fraction


    Initially the block is at rest under action of force 2T upward and mg downwards. When the block is pulled downwards by x, the spring extends by 2x. Hence tension T increases by 2kx. Thus the net unbalanced force on block of mass m is 4kx

    \ acceleration of the block is = m/4kx

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