In the arrangement shown, all the surface are smooth, strings and pulleys are light. Find the tension in the string.

Explanation

Block A : along the plane
`20 sin 53^(@)-T=2a` …(i)
Block B: along the plane
`T-20 sin 37^(@)=2a` ……(ii)
Adding Eqs. (i) and (ii), we get
`20( sin 53^(@)- sin 37^(@))=4a`
`20((4)/(5)-(3)/(5))=4 = 4a implies a = 1 ms ^(-2)`
`T=20 sin 37^(@) +2a=20xx(3)/(5)+2xx1=14 N`