Çok meşgul miyin? Are you very busy?  Please correct. Thank You

 Çok meşgul müsün?    My try

 I am not a native speaker. But IMHO you are correct.  This isn´t that complicated.

 İt is not ´miyin´ it is ´müsün´

Should it not be musun? Vowel harmony with meşgul?

yeah of course Mysty: it´s definitely cuz of the vowel harmony

çok meşgul MUSUN ? are you busy

but

çok meşgul MUYUM? Am I busy?? 

 meşgul is coming from arabic so its meşgul müsün

Any native can corect if im wrong.

who cares what the origins of the word is.. it´s now a Turkish word and therefore it undergoes the Turkish grammar.. so you´ll have to respect the vowel harmony in turkish:

so it would be

MEŞGUL MUSUN?

with no dots whats so ever

Actually ReyhanL ls correct Below ıs a native turks explanation as to why

Calitrix a member here wrote ıt ın answer to thıs questıon ın another post but for some reason I am havıng problem wıth the linkcut and paste

If you search meþgul ınto the TC search engine which on this site it is answered in other posts

Vowel harmony is based on the pronounciation. Not the spelling/writing exactly. some vowels have a bit different sounds from which they are supposed to have. For example, in "at" (horse), you definitely hear the Turkish letter "a". but in the last syllable of "sadakat" or "þefkat". these are not Turkish hard/bass "a". They have a sound between a and e, which makes them lighter. Meþgul´s u has also a sound between u and ü, and that makes it lighter than normal. For that reason, you cannot go ahead with -u- style vowel harmony but you have to go with -ü- style. which is like "meþgül müsün?", but sure that is not an "ü", so this is needs a trable/soft vowel: "meþgul müsün?