In the figure shown, find out acceleration of each block.

Explanation

Now F.B.D. of each block and apply Newton's second law on each F.B.D.

from constrain relation `2a_(1) = a_(2) + a_(3)` ....(4)
Solving equations ( 1), (2), ( 3) and ( 4) we get `T =( 800)/( 23) N `
`a_(1) = 70 // 23 m//s^(2)` ( downward ) `, a_(2) =170 //23 m//s^(2)` ( upward),
`a_(3) = 30 //23 m//s^(2) ` ( downward )