Imac 24 shutdowns unexpectedly

Question

Hello iworld
my imac 24 2.93ghz 2009 late ,shutdowns unexpectedly when i starting to do something like opening browser o email client , i checked all fans ,
and i thought what the problem is cpu fan so i replaced it , still getting the same problem .
After fan was changed i did PRAM and SMC , still same problem.
IS it possible what it can be power supply , or hdd ? Please help me i'm new on imac's
I forgot to mansion what in disk utilities i check hdd permissions  and verified hdd,it seams what everything is all right  .

Answer 1

These instructions must be carried out as an administrator. If you have only one user account, you are the administrator.
This procedure is a diagnostic test. It makes no changes to your data.
Please triple-click anywhere in the line below on this page to select it:
syslog -k Sender kernel -k Message CSeq 'n Cause: -' | tail | awk '/:/{$4=""; print}' | pbcopy
Copy the selected text to the Clipboard by pressing the key combination command-C.
Launch the built-in Terminal application in any of the following ways:
Enter the first few letters of its name into a Spotlight search. Select it in the results (it should be at the top.)
In the Finder, select Go ▹ Utilities from the menu bar, or press the key combination shift-command-U. The application is in the folder that opens.
Open LaunchPad. Click Utilities, then Terminal in the icon grid.
Paste into the Terminal window by pressing the key combination command-V. I've tested these instructions only with the Safari web browser. If you use another browser, you may have to press the return key after pasting.
Wait for a new line ending in a dollar sign ($) to appear below what you entered.
The output of the command will be automatically copied to the Clipboard. If the command produced no output, the Clipboard will be empty. Paste into a reply to this message.
The Terminal window doesn't show the output. Please don't copy anything from there.