Brand New iMac Crash (twice in one day)

Question

I just bought a brand new 27inch iMac 2 weeks ago - its running Mavericks
Today I came home to find the computer switched off. I turned it back on and then later in the day came back to find it off again.
I went to terminal and typed "last" and saw two crashes listed (see below). My question is, how can I find out what caused the crash? Its a brand new machine, has 32gb ram and 3.5ghz i7.
Mitchell  ttys000                   Sat Nov 23 21:25   still logged in
Mitchell  console                   Sat Nov 23 21:22   still logged in
reboot    ~                         Sat Nov 23 21:21
Mitchell  console                   Sat Nov 23 13:06 - crash  (08:15)
reboot    ~                         Sat Nov 23 13:06
Mitchell  console                  Sat Nov 23 09:24 - crash  (03:41)
reboot    ~                         Sat Nov 23 09:24
shutdown  ~                         Sat Nov 23 03:18
Mitchell  console                   Thu Nov 21 15:45 - 03:18 (1+11:33)
reboot    ~                         Thu Nov 21 15:44
shutdown  ~                         Thu Nov 21 15:35
Mitchell  ttys000                   Sun Nov 17 21:53 - 21:54  (00:00)
Mitchell  ttys000                   Sun Nov 17 21:53 - 21:53  (00:00)
Mitchell  console                   Mon Nov 11 11:29 - 15:35 (10+04:05)
reboot    ~                         Mon Nov 11 11:27
shutdown  ~                         Mon Nov 11 01:30
Mitchell  console                   Thu Nov  7 01:57 - 01:30 (3+23:32)
reboot    ~                         Thu Nov  7 01:57
shutdown  ~                         Thu Nov  7 01:27
Mitchell  console                   Sat Nov  2 05:00 - 01:27 (4+20:26)
reboot    ~                         Sat Nov  2 04:59

Answer 1

Open the console app and look for the reasons for the crashes or why iot shut off. Do a SMC and PRAM reset.
Check the current hbernate mode with this terminal command.
pmset -g | grep hibernatemode
The a google search for the options available.
It seems that with certain hibernate modes the system goes into Deep Sleep, Hibernate, and crashes when coming out of it. So if your system is doinig that disable the Deep Sleep, hibernate mode, and test.
The hibernate mode is where the system write RAM data to the Sleep Image files on the hard drive and then is supposed to load that back into RAM when you wake it up. Somewhere in that process the system crashes.