Mac Shutting Down Problem

Ok, this is the second time this has happened in about 2 weeks. My MacBook Pro is fully charged (100%) and plugged in and the green light on the charger is on. I'll go to pick it up and then suddenly the computer shuts off, and the light goes out on the charger. After that there is a period of time when i can't even turn my computer back on. The charger will not charge (light not coming on, confirmed by the menu bar). I'm wondering why this is happening, as i have had the computer for several months and other Macs for years and this was never an issue. If this is a known issue it'd be great to know how to fix it.
T+7 minutes from last incident and still no indication of charge although the computer has turned back on.