That is what's left of the clutch safety switch. It's gone...what appeared to be 2 small brass bars
Originally the yellow/green stripe wire was" broken" along the way to the solenoid, with male and female bullet ends that connected to the clutch safety switch. find the two yellow/green stripe ends and connect them together or a previous owner has done this already....no more clutch safety unless you find a good replacement.
not exactly yet. That means the magnetic coil is ok unless you found that the "motor staying on problem" is also gone. Try the same with starter motor connected ORand yes I got clicks out of the solenoid! It clicks with key on or key off. So that means the solenoid is good .... and I have to look elsewhere.
To be really sure:
Do this with Key off so bike motor will not "run" but it will turn over. This will take any possibility of confused wiring out of the equation. Disconnect all bullet connectors to the yellow/green and Just use a short piece of wire from the big Battery terminal on the solenoid touched to the place where the yellow/green stripe wire is soldered on.(Or to the wire itself.) If the starter motor sticks On, you need a new solenoid...this kind of failure would be pretty rare but I would satisfy myself.
If it "works ok" and stops spinning motor when "untouched" then yes, it IS your wiring or your starter button.


