In the arrangement shown, all the surfaces are smooth, strings and pulleys are light. Find the tension in the string.
`(CPS_V01_C06_S01_015_Q01.png" width="80%">

Explanation

Block `A:` along the plane
`20sin53^(@)-T=2a` (i)
Block `B:` along the plane
`T=20sin37^(@)=2a` (ii)
Adding (i) and (ii), we get
`20(sin53^(@)-sin37^(@))=4a`
`20((4)/(5)-(3)/(5))=4=4arArra=1m//s^(2)`
`T=20sin37^(@)+2a`
`=20xx(3)/(5)+2xx1=14N`