The system of two weights with masses `M_(1)` and `M_(2)` are connected with weightless spring as shown in fig. The system is resting on the support S. Find the acceleration of each of the weights just after the support S is quickly removed.

Explanation

The force of spring does not change instantaneously, so find spring force at initial instant.
,
Initially, `M_(1)g=kx`
When support is removed, spring force does not change.
For `M_(1):M_(1)g - kx=M_(1)a_(1)`
or, `a_(1)=0`
For `M_(2):M_(2)f+kx=M_(2)a_(2)`
or, `a_(2)=((M_(1)+M_(2))g)/(M_2)`.