Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in fig. The tensions in the string connecting weights A to B and B to C will respectively be -

Explanation

Net pulling force `=2mg-mg=mg`
Total mass `=m+m+m=3m`

`"Acceleration, a"=(mg)/(3m)=(g)/(3)`

Considering block A,
`T_(1)-mg=ma,T_(1)=mg+ma`
`T_(1)=mg+m((g)/(3))rArr T_(1)=(4)/(3)mg`
Considering block C,
`mg-T_(2)=ma rArr T_(2)=mg-ma`
`rArr T_(2)=mg-(mg)/(3)=(2)/(3)mg.`