Two blocks are connected by an inextensible light string, the string is passing over smooth, light pulley as shown. Find the acceleration of blocks and tension in the string, reaction in pulley.

Explanation

`darr:2mg-T=2ma` (i)
`rarr:T=ma` (II)
Solving `a=(2g)/(3)`
`T=(2mg)/(3)`
Pulley`:`

`R-sqrt(2T)=0`
`R=sqrt(2T)=(2sqrt(2)mg)/(3)`
where `R` is the reaction in the pulley.