Figure shows an arrangements of masses hanging from a ceilling. In equilibrium each rod is horizontal, has negligible mass and extends three times as far to the right of the wire supporting is as to the left. If mass `m_(4)` is `48 kg,` then `(m_(3))/(m_(2))` is

Answer

4

Explanation

`m_(2)gxx1=m_(1)gxx3`i.e., `m_(2)=3m_(1)`
`4m_(1)gxx3=m_(3)g i.e., m_(3)=12 m_(1)`
`16m_(1)gxx3=m_(4)g`
`m_(1)=1 kg`