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Figure shows spring + block + pulley system which are light. The time period of mass would be

Options

  1. A2 k m
  2. B1 2 k m
  3. C2 m k
  4. D1 2 m k

Correct answer

C. 2 m k

Step-by-step solution

Let when m is hanging, the extension in the spring is l , then tension in the string is, T₁=k l=m g when force is applied, let the further extension is x . The tension in the spring is T₂=k(x+l) aligned & Driving force =T₂-T₁=k(x+l)-k l=k x & Acceleration = k l m aligned aligned T & =2 displacement acceleration & =2 x k x m =2 m k aligned

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