The system shown in the figure is initially in equilibrium. A is of mass 2 m and B,C D and E are of mass m Certain actions are performed on the system. Every action has been taken individually when the system is intact. Find the direction and magnitude of acceleration of the blocks after each action of the following actions has been taken

`{:((i)"Spting 1 is cut",(ii)"Spring 2 is cut"),((iii)"String between C and D is cut.",(iv)"String between B and C is cut."):}`

Answer

`(i)a_(A)=gdarr,a_(B)=(2g)/(3)uarr,a_(c)=(2g)/(3)darr,a_(D)=(2g)/(3)darr,a_(E)=0`
(ii) `a_(A)=0,a_(B)=g/3darr,a_(C)=g/3uarr,a_(D)=g/3uarr,a_(E=gdarr`
(iii) `a_(A)=0,a_(B)=3gdarr,a_(C)=(3g)/(2)darra_(D)=2gdarr,a_(E)=0`
(iv) `a_(A)=0,a_(B)=3gdarr,a_(C)=(3g)/(2)darr,a_(D)=(2g)/(2)darr,a_(E)=0`