In the arrangement shown, inclined plane is smooth, strings and pulleys are massless. Find `T_(1)/T_(2)`

Explanation

`5kg:` along the plane`:` `50sin30^(@)-T_(1)=5a` (i)
`3kg:` along the plane`:` `30 sin30^(@)+T_(1)-T_(2)=3a` (ii)
`2kg:` `uarr:T_(2)-20=2a` (iii)
Adding (i),(ii) and (iii), we get
`20=10arArra=2m//s^(2)`
`T_(1)=15N`
`T_(2)=24N`
`(T_(1))/(T_(2))=(15)/(24)=(5)/(8)`