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NTA Abhyas JEE Main2020PhysicsLaws of MotionPractice

A block of mass m is resting on a smooth horizontal surface. One end of a uniform rope of mass m 3 is fixed to the block, which is pulled in the horizontal direction by applying force F at the other end. The tension in the middle of the rope is

Options

  1. A8 6 F
  2. B1 8 F
  3. C1 5 F
  4. D7 8 F

Correct answer

D. 7 8 F

Step-by-step solution

Acceleration of the system a = F m + m 3 ∴ Tension in the middle of the rope T = m + m 6 a o r T = 7 m 6 ⋅ 3 F 4 m = 7 8 F

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