Artificial gravity ship: Floor?

The other day, I was learning about creating "artificial" gravity by building a gigantic circularly shaped ship which would revolve at a frequency such that the centripetal acceleration coincided with the acceleration due to gravity [itex]g[/itex] (analogous to the shape and movement of earth).

I can definitely buy this: Surely it makes sense that the ship revolves similar to the earth and thus gives rise to a centripetal acceleration toward the center of the ship which would be equal to [itex]g[/itex]. But then I saw a picture similar to the one below and immediately got confounded:



Since the revolution of that circular "ship" gives rise to the acceleration [itex]g[/itex] toward the center of the ship, wouldn't that person launch towards and "slam" into the center of the ship? According to me, it should look something like this:



Why? Well since the movement and shape of the ship is mimicing that of earth's, I figured the placement of the human beings ought to be similar. For comparison:



Is there something I am not seeing clearly?