Crashing and freezing and turning off

all three keep happening on my new 24". it would sometimes freeze up when running multiple applications (aperture, iphoto, safari, mail..) simultaneously; i thought this would be resolved when i added another gig of RAM, which i did on friday. but it still freezes and i have to force shut down.
or when running vlc player it will suddenly give me a message saying "your computer needs to shut down" and i have to force it off.
or it will just turn off. this hasn't happened yet while i'm actually working on it -- and it hasn't happened since i added the RAM -- but sometimes when i leave the computer and come back it will just be off and i know i didn't turn it off. and i'm certain no one has used it in my absence.
what's going on? i upgraded from a 17" 1.8 ghz that ran on 1.5 gb RAM. it never had these problems. frustrated! are there any steps i can take to weed out what's happening? i don't want to call apple and have them tell me i have to take it back.
thanks.

thanks for all the response --
i have had my iphone dock attached. i hopped on last night and the computer froze again -- the pattern for freezing seems to be when aperture is open, but i usually am working with aperture when i'm on the computer at all, so it's hard to tell for sure. i did detach the dock and turned off the computer for the night. (not sure how this would affect anything, but..)
i will try to reinstall the ram, but with my two week return coming up, i might just have to take it in and not risk it. going to call apple in the next day or so, when i have time, and see ... looking through the discussions i see i'm not the only one, so i'll post back if apple support has anything of interest to report.

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