The pulley is light and smooth`:` the strings are inextensible and light. The system is released from rest, find the acceleration of each block, tensions in the strings and reaction in pulley.

Explanation

`darr:50-T_(1)=5a`
`darr:30+T_(1)-T_(2)=3a`
`uarr:T_(2)-20=2a`
Solving (i), (ii) and (iii), we get
`a=6m//s^(2)`
`T_(1)=20N`
`T_(2)=32N`
Pulley`:`
`R-2T_(2)=0` (pulley is massless)
`R-2T_(2)=0`
where `R` is the reaction in the pulley