Lacking ability or skill in the use of machinery and tools. (adjective)
American Heritage(R) Dictionary of the English Language, Fifth Edition. Copyright (c) 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Use "unmechanical" in a sentence
"a machine -- a machine utterly unmechanical, which is a contradiction of terms."
"I wasn't sure what the problem was and, when he explained it in car lingo, my unmechanical ears couldn't decipher what he was saying."
"And all other mechanical contrivances should either be properly done, or not be had recourse to at all, for it is a disgraceful and awkward thing to use mechanical means in an unmechanical way."