The starter solenoid is sticking. You can get it to stop cranking by tapping it with a hammer. Be aware there's at least three different versions that Ford used, and they all look the same but they are not interchangeable. The photo below shows what it looks like. It will be mounted on the inner fender right next to the battery.
The next time this happens, unplug the smaller red wire connected to one of those small studs. If that lets the solenoid turn off, see if it begins cranking again when you plug that wire back on. If it does, there's something else causing this problem that we'll have to diagnose. We can do that without cranking the engine if you unbolt the large cable that goes down to the starter, but we're still limited to a short period of time to do that. These solenoids are not designed to be activated for more than roughly ten to 15 seconds at a time, with cooling off periods in between. The electromagnetic coil can overheat, smoke, and warp that coil so the plunger sticks and fails to release.
If a gentle tap with a hammer gets it to release, there's likely no other problem with the wiring. The solenoid just needs to be replaced.
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Monday, July 24th, 2023 AT 2:17 PM