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A boy wants to climb down a rope. The rope can withstand a maximum tension equal to two-thirds the weight of the boy. If g is the acceleration due to gravity, the minimum acceleration with which the boy should climb down the rope is equal to


  1. g3

  2. 2g3

  3. Zero

  4. g


Solution

The correct option is A

g3


Let a be the minimum acceleration with which the boy must climb down the rope.
From the second law of motion, mgT=maT=m(ga)........(1)
Now, the maximum allowable tension is 2mg3. Substituting in equation (1), we get
23mg=m(ga)a=g3
Hence, the correct choice is (a).

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