Chess Rules - Is it a draw? Rapid Game

Try: move the rook over anywhere and if he takes the pawn move it back and checkmate!

This thread sound like one of those NLHE poker rulings...

Unfortunately, "normal" is by no means well defined. There were 100s-rated players at the first tournament I went to who probably couldn't checkmate with K+R vs. K if given 50 moves, and I'm not even kidding. 

In a rook endgame that is won, but with an inexperienced player (as said by yourself), it's far from "normal". I've said this several times. 

An experienced player could trick a total beginner in that position - and while I'm guessing your opponent wasn't *that* much stronger, it was possible. 

Oh my god let it go.

There isn't anything to let go. If the "winning by normal means" rule applied in this game/tournament, the arbiter didn;t do his job and award the draw.   In blitz tournments or whatever where rule doesn't apply, shuffling the peices as fast as possible to win on time is perfectly normal. It doesn't matter if some people don't want this rule to apply in any game or tournament.

I love the addition of an increment/delay in tournament chess. It takes such decisions out of the hands of the arbiter. If it's such an obvious draw, you should be able to draw it even if the increment/delay is only 2 or 3 seconds a move.

Actually as per the rule, No need to worry about  players strength.

If you do, it is basically favoring higher rated player.

In this game his rook and king  were very passive, but my king and rook were in very active positions.

He already moved his  rook in  the same rank few times. Here he does not have any good move other than just hanging there.

What was there in my mind at the time of this claim?

1. I was very sure about the rule and thought it will be given as draw surely, that's why I didn't go for his pawn

2.In one of my past game, my opponent didn't put his pieces properly within the square every  time, when both of us were in final seconds and also moved his pieces before I finished my move, waiting at the clock, Finally when I claimed, my flag fell . Arbiter said "Flag fell, I can not do anything", Then my opponent was having 1second.

3.In another one of my past game, R +P vs R+ P where both pawns were locked.(position is given here)I was less on time,opponent tried to win by simply moving quickly. I called the arbiter and said "He is trying to win on time" Arbiter looked at the position and said "play I want to see". After that we played few more moves. Then arbiter declared as  draw.

4.In this game my opponent was second prize winner in the previous year, where I lost to him badly

Because of these past experiences, I thought it was better to claim a draw, even though I was attacking and better in the entire game.

What could I have done to make it clear for the arbiter?

I could have gone for his pawn then I would have one pawn on the board. It would have been much clearer for the arbiter to decide.

Fortunately, the above mentioned meaning for "normal means" is given in the Arbiter manual. I sure you are smart enough to understand.