Behaviour of a piece of metal inside a coil

[episage]

Hello,

I was thinking about this and I'm still not sure.

I have a long coil (which has uniform magnetic field inside) and a piece of ferromagnetic.
Coil is connected to some power source and is positioned perpendicular to surface of the Earth.
If I put that piece of ferromagnetic metal underneath the coil, what will happen? (I assume that radius of coil is much bigger than radius of the metal)
Of course the metal will be sucked.
Here is my question: "how high" the piece of metal will be sucked? to the middle point of the coil? a bit below middle point?

 

[Baluncore]

The force attracting the metal to the centre of the solenoid will be greatest at the ends, falling to zero in the middle. Gravity will be pulling the weight of the metal downwards. The metal will rest where the forces are in balance, that will be somewhere below the centre of the solenoid.