In the figure, if `m_(1)` is at rest, find the relation among `m_(1), m_(2)` and `m_(3)` ?

Explanation

`m_(1)` is at rest `rArr` point B does not move, `m_(2)` and `m_(3)` move with acceleration

`a=((m_(3)-m_(2))/(m_(2)+m_(3)))g, m_(3)gt m_(2)`
`T=(2m_(2)m_(3)g)/(m_(2)+m_(3)), T^(1)=2T=(4m_(2)m_(3)g)/(m_(2)+m_(3))`
`m_(1)cancel(g)=(4m_(2)m_(3)cancel(g))/(m_(2)+m_(3)) " " [(4)/(m_(1))=(1)/(m_(2))+(1)/(m_(3))]`