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Question

A rope of mass 2m is used to pull a block of mass m as shown in the figure. Find the force exerted by the rope on the block. Assume all surfaces as frictionless.
  1. F2
  2. 2F3
  3. F3
  4. F4


Solution

The correct option is C F3
Consider the block and the rope as a system initially.
Acceleration of the system =a=Fm+2m=F3m   (i)
Let T be the tension in the rope due to force F.
Let us draw FBD of both rope and the block:


Using FBD of block, we can say
T=m×a   (ii)
Using equation (i) in (ii), we get
T=m×F3m=F3
Hence, force exerted by the rope on the block, T=F3

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