Whereas I competely agree with Saul's explanation, I would like to say that, in my 54 years of speaking english, I have never said either of your sentences. I would use the verb "put".
If you need to put something delicately somewhere(so it doesn't break), use "place". "Place the bone china plate on the shelf."
If something needs to be put in an exact place, use "set". "Set the sundial right there."
I reiterate, I have never said these words like this. "Put it down carefully.", yes. "Put it right there.", yes.
For books (unless they are antiques) "put" is the verb to use. I know that inChina the written word is highly thought of, but in England a book is a book. Unless it is an antique.
Hope this helps.