Gravity in the Middle of a Planet: Puzzling Questions

[cosmicpencil]

ok, this may seem comical, but here it goes,

lets say I dig a hole right trough the planet, ignoring the heat at the core and bla bla bla
and I get to the exact middle of the sphere. how will be the efffect of gravity there, will I get tossed from one side to the other of will I just keep going feeling nothing has changed.Or will I stay stuck in the middle,lets say I trow myself down this hole, will I like pop out the other end then fall back in and pop at the end from where I jumed in? and so on so forth, how would my fall be affected.
thanks again, for shedding some light on my poor understanding of this phenomenone.

 

[Chronos]

If you shovely your way to the center of the earth, you will be stuck there. Gravity at the center of the Earth is zero. If you jump into a hole bored all the way through the earth, you will yo-yo back and forth. Air friction will slow you down with each cycle until, once again, you end up stuck in the middle with you.

 

[granpa]

also you would resonate. the time to reach the center would not depend on the height of your starting point.

 

[Chronos]

Correct. Always good to hear from you granpa! For a rigorous discussion see
http://hyperphysics.phy-astr.gsu.edu/HBASE/Mechanics/earthole.html