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Question

# Two blocks A and B of masses 2m and m, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively

A
g, g/2
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B
g/2, g
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C
g, g
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D
g/2, g/2
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Solution

## The correct option is B g/2, gThe extension in spring in equilibrium kx=3mgHence tension in the string will be 3mg−2mg=mgWhen string is cut the force on B is mg hence acceleration is aB=g. Force on A is kx−Mg=3mg−2mg=mg upwardsaA=mg2mg=g2Hence correct answer is option B.

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