Just read this from one of the links here:
"Staying on top
Once again, picture in your mind a round world. Now imagine that there are two people on this world, one at each pole. For the person at the top of the world, (the North Pole), gravity is pulling him down, towards the South Pole. But for the person at the South Pole, shouldn't gravity pull him down as well? What keeps our person at the South Pole from falling completely off the face of the "globe"?
2) Falling off
As we begin to make this argument, we acknowledge beforehand that we are aware of the property of matter known as friction. Yes, we realize that whenever two surfaces are held together by any force there will be a static frictional force that will resist any motion by either surface in any direction other than parallel to the force. The example we are using is an extreme situation, and would involve the object in question to travel a considerable distance (tens of degrees of latitude) from the "top" of the planet.
Using the "round Earth" theory, setting an object on the earth would be like setting grains of sand on a beach ball. Certainly a few grains would stay - right around the top, the surface is nearly horizontal - but when you stray too far from the absolute top of the ball, the grains of sand start sliding off and falling onto the ground. The Earth, if round, should behave in exactly the same fashion. Because the top is a very localized region on a sphere, if the Earth were in fact round, there would be only a very small area of land that would be at all inhabitable. Stray to the outside fringes of the "safe zone", and you start walking at a tilt. The further out you go, the more you slant, until your very survival is determined by the tread on your boots. Reach a certain point, and you slide off the face of the planet entirely. Obviously, something is wrong.
In order to avoid the aforementioned scenario, (which obviously is inaccurate, as you very rarely hear of people falling off the face of the planet) we are forced to assume that, in the "round Earth" theory, there would be a gravitational field radiating from the center of the planet. All objects, be they rocks, insects, humans, or other planets would have, under Efimovich's theory, have a gravitational "charge" that would, under a certain alignment, cause them to be attracted to the center of the Earth. Unfortunately, like a magnet in a stronger magnetic field, it would undoubtedly require a long time to re-align an object's gravitational charge, were this the case. And so we go to argument four, which deals with difficulties in having different "downs" for different people."