An object of mass m is tied to a string of length l and a variable horizontal force is…

Physics · JEE Advanced · NTA ExamsWork, Energy and Power

An object of mass m is tied to a string of length l and a variable horizontal force is applied on it, which starts at zero and gradually increases (it is pulled  extremely slowly so that equilibrium  exists at all times) until the string makes an angle θ with the vertical. Work done by the force F is:
   Diagram, shape Description automatically generated
  1. mgl (1 – sin )
  2. mgl
  3. mgl (1 – cos )
  4. mgl (1 – tan )

Answer

(C) mg l (1 – cos  )

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