In figure there are two particles `A` and `B` each of mass `m`. `A` is connected to ceiling by a light inextensible thread `OA` and `B` is connected to `A` by light inextensible thread `AB`. Initially line `OB` is vertical. System is released from rest. Initial acceleration of `A` and `B` are `a_(1)` and `a_(2)` respectively. Find the value of `5a_(1)//2a_(2)`

Explanation

Let us work in the ground frame for `A` and for `B` work in the frame of `A`
`(4)/(5)mg+T'=ma_(1)`……(`1`)
`T'+ma_(1)=(4)/(5)mg`…..(`ii`)
From (`i`) & (`ii`)
`T'=0 rArr a_(1)=(4)/(5)g`
`rArr ln` ground frame motion of `B` will be free fall.