Actually the most
likely cause of this kind of a problem is a loose connection or misconnected cables. You refer to "a" component cable, but I assume you mean three cables (red, green, and blue) which happen to be bundled together the way cheap A/V cables often have the red & white analog audio and yellow analog video cables bundled. Disconnect all six ends of the cable and then reconnect them checking twice to make sure that you have connected red to red, green to green and blue to blue, that all cables are seated properly and finally that you have connected to the
correct red input and output on both ends. (You'd be surprised how often someone plugs one end of a component cable into a red RCA analog audio input or output on one device or the other.) An incorrectly or incompletely connected cable is the most like cause of the problem you're describing, followed by a bad, crimped or damaged cable. An actual problem with the input or output jacks on the devices is
way down the list as these are more robust, more thoroughly tested and less exposed to movement and ordinary wear and tear than the cables themselves.
If you actually only bought a single component cable and that's what's running from your DVD player to your TV - well, I think we've found the problem.
Regards,
Joe