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Question

Two masses m and 2m are joined to each other by means of a frictionless pulley as shown below. When the mass 2m is released, the mass m will ascend with an acceleration of


A

g3

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B

g2

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C

g

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D

2g

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Solution

The correct option is A

g3



From the second law of motion,
2mgT=2ma........(1)
Tmg=ma........(2)
Adding equations (1) and (2), mg=3maa=g3
Hence, the correct choice is (a).


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