Broken?
What Brand, HP, and model motor did it come from? Where on the motor did you find it?
Choke plunger.
Choke plunger.
Elvin is right! When you have the EP type (electric remote), the choke is operated by a solenoid, which you control by the push-to-choke feature of the key switch. The part is shown in fig 10 of the parts catalog. 361760730M PLUNGER, CHOKE SOLENOID.
The plunger is loose in the solenoid body, retained by the "hook" and "rod" that connect it to the carburetor, retained by a nylon nut. So if that linkage was removed, the plunger could come loose and fall down where you found it.