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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 magnitude of the acceleration of A and B, immediately after the string is cut, are respectively

  1. g,g
  2. g,g2
  3. g2,g
  4. g2,g2


Solution

The correct option is C g2,g
FBD of A and B before cutting the string,

For block B
T=mg
For block A
kx=T+2mg
Since T=mg
kx=3mg

Let the acceleration of block A and B be aA and aB.
For block A,
kx2mg=2maA
Since kx=3mg
3mg2mg=2maA
aA=g2
For block B,
mg=maB
aB=g 

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