I simply do not understand how you can believe that a question taken from a physics olympiad is not a homework question. It may not be a homework to you but it is or will likely be homework for someone. Remember that the purpose of the site is to provide answers that are useful to visitors beyond the OP, not just for the OP.
As to your other question, you did not even bother typesetting it. In all fairness, it would not have been useful to do so as it is also clearly a homework question. Cut-and-paste of images is also highly frowned upon, as discussed in this thread.
I suggest that, if you are stuck on a questions for days or weeks (not for merely an hour!), or if you have exhausted multiple textbooks without answers, it is likely to be a conceptual question, which is what this site is devoted to (as you correctly identify).