The strings are inextensible and light`:` the pulleys are smooth and light. Find the acceleration of each block and tensions in the strings.

Explanation

`5kg:` `darr:50-T_(1)=5a` (i)
`5kg:`
`2kg` `larr:T_(1)-T_(2)=2a` (ii)
`3kg:` `uarr:T_(2)-30=3a` (iiI)
Adding (i), (ii) and (iii), we get
`20=10arArra=2m//s^(2)`
`T_(1)=40N`
`T_(2)=36N`
Motion on an inclined Plane
If a block is moving on an inclined plane, we choose two direction, along the plane and perpendicular to the plane. Resolve the forces along these directions and solve.