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NEET2003PhysicsLaws of MotionActual

A monkey of mass 20 ~kg is holding a vertical rope. The rope will not break when a mass of 25 ~kg is suspended from it but will break if the mass exceeds 25 ~kg . What is the maximum acceleration with which monkey can climb up along the rope?

Options

  1. A5 ~m / s ^2
  2. B10 ~m / s ^2
  3. C25 ~m / s ^2
  4. D2.5 ~m / s ^2

Correct answer

D. 2.5 ~m / s ^2

Step-by-step solution

Let T= tension in the rope when monkey climb up with an acceleration a . Then T-m g=m a aligned & 25 g-20 g=20 a & 5 g=20 a & a= 5 10 20 =2.5 ~m / s ^2 aligned

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