We have a 19" LCD in the back room. I was originally going to mount it, but didn't feel anything really substantional, so just ended up leaving it mounted to its stand. What I do is use one of the spring loaded rods like a curtain rod or that is used to hold stuff in the fridge in front of the TV. I don't think it would fall over/bounce out, but this just gives us a little insurance. So far, 3 years and no issues.
1999 Silverado 1500 ECSB 4x4 5.3/3.73s
2009 Jayco 32BHDS