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Two blocks A and B of masses 3 m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively:

1. g/3, g
2. g, g
3. g/3, g/3
4. g, g/3

Correct answer: g/3, g

Solution

When the string is cut, block A (mass 3m) is acted upon only by gravity, so its acceleration is g/3 due to the spring's restoring force. Block B (mass m) is in free fall, so its acceleration is g.

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