I'm looking for a name of the mechanic part (axis-gear combination) with the following description to use it in an automatic window control. I can't find this online to get parts due to the lack of right keywords. I'm sorry if I did use some wrong words to describe the part – I'm not from this field of technology:
I have a remote motor and an effector gear that is at minimum placed 30 cm away from it alongside the motor axis. The axis has teeth on which the effector is grabbing on. The gear is not strongly mounted on the axis, though: When the motor turns, it turns as well but it can still freely slip up and down the axis.
What is this called?