"However, when I push it, and it goes in a forward direction, or I push it backwards, the powered tires turn opposite directions and just slide (actually, they turn in opposite directions until I get done moving the tractor)."
It's still in gear. Oh this is one of those variable jobs.
slomo
Actually, not variable. It's just what ILENGINE said. The brake, which is on the outside of the transmission/differential is rusted seized.
A differential lets one wheel go faster than another when going around a curve, or in this case, since I was trying to force it to go straight ahead or straight backwards, all it could do - because the brake is seized - is for one tire to rotate in the forward direction, and the other tire to rotate in reverse.
So I have the fun task of tearing down a very small, rusted disc brake system. At least it's not hydraulic.
I'll get to find out if I'm still a real mechanic (bloody, skinned knuckles
).
Slomo, I did not realize that little lawn tractors even had variable speed transmissions. This one just has a four or five speed transmission and differential combination. You push lightly on the pedal to disengage the clutch when you shift. Push all the way down and you engage the brake.