Playing Dayz causes my computer to shut down as if it overheat

[Goodrita 27]

I can play Dayz for around 10 minutes with no problems at a steady 30fps but after 10 mins my computer just instantly shuts off as if were overheating but my core temp doesn't exceed 60c so I honestly have no clue why it would be doing this.  Plus Dayz is the only game this happens on.

 

 

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System Information

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Time of this report: 3/14/2014, 20:11:45

       Machine name: FUCKDAPOLICE

   Operating System: Windows 7 Home Premium 64-bit (6.1, Build 7601) Service Pack 1 (7601.win7sp1_gdr.120330-1504)

           Language: English (Regional Setting: English)

System Manufacturer: MSI

       System Model: MS-7786

               BIOS: BIOS Date: 02/13/12 08:34:51 Ver: 04.06.05

          Processor: AMD A8-3870 APU with Radeon HD Graphics (4 CPUs), ~3.0GHz

             Memory: 8192MB RAM

Available OS Memory: 7670MB RAM

          Page File: 2355MB used, 12984MB available

        Windows Dir: C:\Windows

    DirectX Version: DirectX 11

DX Setup Parameters: Not found

   User DPI Setting: Using System DPI

 System DPI Setting: 96 DPI (100 percent)

    DWM DPI Scaling: Disabled

     DxDiag Version: 6.01.7601.17514 32bit Unicode

[Funkmasterflex 12]

Your power suply is to weak, the game puts so much strain on your gpu that its need full load and your power supply simply cuts out!

[Goodrita 27]

Alright thanks, Anyway to fix this without just buying a better power supply?

[Dchil 829]

Alright thanks, Anyway to fix this without just buying a better power supply?

[wirher 8]

Srsly, you say that PSU is to weak without even asking what kind he has. 
What PSU do you have?