Three blocks are connected by strings as shown in and are pulled by a force `T_(3)=60N` if `m_(1)=10 kg, m_(2)=20` kg and `m_(3)=30 kg` calculate the acceleration of the system and `T_(1) and T_(2)`

Answer

`a=1 m//s^(2); T_(1)=10N and T_(2)=30N`

Explanation

Acceleration of the system
`a=T_(3)/(m_(1)+m_(2)+m_(3))=60/60=1m//sec^(2)`
F.B.D of blocks

`T_(1)=m_(1)xxa=10xx1=10N`
`T_(2)-T_(1)=m_(2)xxa`
`T_(2)-10=20`
`T_(2)=30N`