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Question

The pulley arrangements of figures (a) and (b) are identical. The mass of the rope is negligible. In Fig. (a), the mass m is lifted up by attaching a mass 2m to the other end of the rope. In Fig. (b) , m is lifted up by pulling the other end of the rope with a constant downward force F=2mg. The acceleration of m is the same in both cases.


  1. True

  2. False

  3. True if m < 1 kg

  4. Insufficient data


Solution

The correct option is B

False


In the first case, acceleration, a=(2mm)gm+2m=g3
In the second case, acceleration, a=Fmgm=2mgmgm=g
Hence, the acceleration is different in both cases.

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