Two blocks A and B of masses 3m 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 [NEET2017]

Text Solution
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Initially, system is in equilibrium with a total weight of 4 mg over spring.


When string is cut at the location as shown.
So, force on mass 
Acceleration of mass
For mass A; free body diagram is
Initially, system is in equilibrium with a total weight of 4 mg over spring.


When string is cut at the location as shown.
So, force on mass 
Acceleration of mass
For mass A; free body diagram is

If
acceleration of block of mass A, then

or
So, accelerations for blocks A and B are

If
acceleration of block of mass
, then

or
So, accelerations for blocks A and B are

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