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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 with the block A above block B . The magnitudes of acceleration of A and B immediately after the string is cut, are respectively:

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a

g, g2

b

g2, g

c

g, g

d

g2, g2

answer is B.

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Detailed Solution

After string is cut, free body diagram of block A gives2maA = 3mg-2mg or aA = mg2m = g2Free body diagram of block B givesmaB = mg or aB = g

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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 with the block A above block B . The magnitudes of acceleration of A and B immediately after the string is cut, are respectively: