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Question

A system consists of block A and B each of mass m connected by a light spring of spring constant k as shown with block B in contact with a wall. The block A is moved towards B by a distance 3mgk from natural length of spring and then released from rest. Neglect friction anywhere.
Acceleration of centre of mass of system comprising A and B just after A is released is:
1023866_5c121b3866f54824a9983e4a49ed841b.png

A
0
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B
3g2
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C
3g
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D
none of these
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Solution

The correct option is B 3g2
At equilibrium before releasing the block B, x=k(3mgk)
After releasing the block A ,its acceleration towards right is a.
kx=ma
k(3mgk)=ma
a=3g
Block B will not move,its acceleration =0
Now, acceleration of center of mass is acom
acom=mAa+mB0mA+mB=m(3g)m+m=3g2m/s2

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