This only happens when you have shoddy cable or your in a terrible bad luck, and often is a very expensive thing to get a repair man to do.
As simple as it seems, the only way you can get them out is to open up the connection, often meaning you have to open up your appliance.
Fortunatly, it isn't that hard to take apart items if you know what to look for
This is my journy to fix my amp.
Step 1: Tools
If you have a properly appointed leatherman or similar, then you have all the tools you need
Since I lost my prized Leatherman Wave last week, I used my big set of tools.
should do you well, however, I included a sharpie for marking connection points, and a flashlight to see dark places. A cheap leatherman copy can be seen too.
Don't know why I have the razor blade out.
Step 2: Open It Up
Step 3: Getting at Those Pesky Connectors
This is where you need to us wits. I negated to take a few key pictures here but once you take the cover off, you'll clearly see the tip.
GENTLY lift the metal clips that secure the connection under normal circumstances. Get another pair of hands to GENTLY grab the small tip and carefully extract it. I would avoid using a magnet here since you might hurt nearby electronics.
Cover the box again. Hopefully you know where to rescrew everything. Before you screw everthing in, plug the appliance in and test it out. It should work
If it doesn't, check all the conections you have to break to get at the connection, reconnect them all. A good multimeter would help here.
Step 4: Your Done!
Be sure to check out my up coming instructables how to fix 1/4 cables and guitars!