How do I remove a pole that's rusted into a sleeve in the ground?
Instead of using a rope to wrap the pipe I would use a piece of heavy chain. The technique is to wrap the chain around the pipe several times and then connect the ends up short together leaving enough of a loop to poke a timber such as a 4x4 through the loop. Use a 4x4 about 8 to 10 feet long and use it as a lever over the top of a short fulcrum post. If the ground is soft you may may need to lay a 2 to 3 foot length of plank flat on the ground under the fulcrum. Arrange the chain loop so it binds tight against itself and around the metal post and use the long 4x4 as a lever to lift the post up some. You then repeatedly reposition the chain loop lower down on the pipe and lever again to lift a step at a time.