find acceleration of each block? [.can anyone explain in words how to write a constraint equation for complex pulley arrangements .if possible use a pic alongside.]

simplest way to solve puuleys

step 1:mark tension T in all the strings by rule same string same tension.

now see diag in first and third string tension is T and in middle string tension is 2T because of diiferen thread.

step 2:mark acceleration acrross mass 1 and 3 because the have same Tenssion note in first string accele is upwa r d   and in third dounwatrd

the eqn for 1st string is

T-mg=ma

for 3rd string

2mg-T=2ma

on solving you get a=g/3

so acc in first and 3rd string is g/3 while in sec string it is g/6 because Tension int it  twice of other so acc become half in it(rule)

easy metod for competetion not for boards

rrate yaar otherwise you will not get such easy metod