Masses `m_(1), m_(2), m_(3)` and `m_(4)` are arranged in a system as shown in fig where `m_(1) +m_(2) gt m_(3)+m_(4)` The lower string keeping the system in equilibrium is burnt The masses start moving. Find the acceleration of masses if the threads are weightless and inextensible the springs are also weightless and the mass of the pulley is negligible.

Answer

`a_(1)=a_(2)=a_(3)=0`
`a_(4)=((m_(1)+m_(2)-m_(3)-m_(4))g)/(m_(4)`

Explanation

Just after string is burnt spring forces don't change at once
`:. a_(1)=a_(2)=a_(3)=0`
`a_(4)=F_("net")/m_(4)=((m_(1)+m_(2)-m_(3)-m_(4))g)/m_(4)`