I've got a question which comes from my possible not understanding the following sentence.
He hated using his hands, and he hated bending down, which was always liable to start him coughing.
In this sentence there's "he" who starts coughing when he bends down. So bending down makes him start coughing. In author's words: bending down is liable to start him coughing.
It is my first time I see "liable". Is it correct to think about "make sb do sth" as synonym of "be liable to do sb sth"? I don't really know if my feeling about this sentence is connected with "liable" or a strange usage of "start". I don't think "start sb do sth" is a very common construction, in fact I don't even know if it exists and if it's correct.
There's also a third thing which I maybe misunderstand. I know we can say "I don't mind your starting your job at 5am". Here it's "your" and not "you", but in the primarily quoted sentence they wrote "him", not "his". Why?
All in all, I can see three paths of research when it comes to trying to understand this sentence and I don't know which path I should take. Could you help me figuring it out? I mean grammar, because I think I understand perfectly this sentence semantically.