Check the jack first sometimes wire breaks at the soldering if it did re-solder it if you can not check it because is not a screw on plug you have to cut it and replace it u can find it at radio shack and if you take it already cut and new plug in hand to a TV repair shop they should charge you about 10 bucks and.............. try not to pull the cable to unplug it, hold the plug and pull.
hope it works

It is faulty repair it