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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.

A
F2
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B
2F3
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C
F3
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D
F4
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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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