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Q.

Two blocks A and B of masses 2m and m, respectively are connected by a mass less and inextensible string. The whole system is suspended by a mass less spring as shown in the figure. 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

Before the cutting of string

Tstring=mg;  Tspring=3mg

After cut, block ‘B’ falls freely.

For block A,

aA=Tspring−2mg2m=3mg−2mg2m=g2 (up)

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