Remove the lamp especially if you heard a high pitched whine/fan like sound or even a grinding noise.
Look where the lamp faces and examine the color wheel (common failure part in these sets) to see if pieces are broken and missing or the wheel is shattered.
If so it can be a do it your self repair as You Tube has video instructions for replacing the wheel in these sets.
SD TECH 
SOURCE: Samsung DLP HLR5668W has mostly dark picture + grinding noise
Pix looks like a light pipe issue, inside the Light Engine. as far as the shutting down, could be a bad fan causing the grinding and when stopps the DMD turns the set off.
SOURCE: No picture on Samsung HLN5065W
sounds like the color wheel has gone bad..the part is not very expensive but it takes some work to replace it
SOURCE: I have a Samsung HLN467WX
I suggest going to the following link. they will have the service manual for your model available by email after purchase and they offer free tech support to help you with the diagnosis and repair of your DLP heres the link in case you want it.
http://servicemanuals.vstore.ca/
SOURCE: Phillips 54 inch rear projection,no picture.
One thing that comes to mind when you say high pitched sound is the HOT ( Horizontal Output Transistor). You may be able to find one at fry's electronics. They are pretty cheap. If you are handy and know something about electronics you may be able to replace it. I am not a TV tech, I have a background in electronics and like to play with them from time to time. Not sure this will help but good luck
SOURCE: TV Picture Goes Black
I had the same exact problem.
I removed the bulb and cleaned it. There is a small screen at the top of the bulb and it was covered with dust. Once it was cleaned I replaced the bulb and it solved the problem.
Thanks to those who posted the solutions
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