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Question

Two blocks 1 and 2 of masses 2m and m are suspended by means of a massless spring and a massless inextensible string as shown in the figure. The acceleration of blocks 1 and 2 immediately after the string is cut are respectively.
828516_3c0c9622a02c40b0a605ae15764956c0.png

A
g,g
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B
g,g2
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C
g2,2g
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D
g,g
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Solution

The correct option is B g,g2
Just before the string in cut, force on the spring pulling up=kx=3mg
Therefore after string is cut, free body diagram of block A
2maA=3mg2mgoraA=mg2m=g2FreebodydiagramofblockBmaB=mgoraB=g

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