Rails are laid along a track made in the form of a spiral descent with a spiral turn radius R and a distance between adjacent turns (“screw pitch”) R. A small cart rolls down the rails, and the distance between the rails is h and the center of gravity of the cart is also at a height h from the rails. What is the maximum number n of turns in a spiral descent so that the cart does not tip over at the end of the descent? Consider the width of the cart to be much less than the radius of the spiral.

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