This car starts great in the morning and after cooling down for about 2
hours.  But after driving it for a short 10-15 minute drive the car will not
start.  The car will crank and crank but not start.  Two weeks ago after an
hour and half drive back home from by father in-laws house the car actually
stalled coming off an exit on a busy road in downtown Pittsburgh.   It would
not start, I had a towing company come and get it.  After I got it home and
let it set for 2 hours it started right up like nothing happened.  Last week
my other vehicle had an issue with the battery at my wife's work place.  She
had a co-worker bring her home.  We had no choice to drive the car so I
could fix the other vehicle.  After cleaning the battery contacts on the van
it started up fine.  Went to start the car and again it cranked and cranked.
While my wife tried to start the car I could hear a weird type buzz coming
from the system computer.  Using my test light I probed the connector pins
on the cord going to the Ignition Coil.  It wasn't lighting up leading me to
believe the weird buzz and no electrical pulse meant the computer was
faulty.  I had checked this previously when it would start to see if the
test light worked when probing the connector and it worked then.  I decided
to leave the car there till the morning.  Sure enough the next morning we
went to get the car and it start right up.  I took the computer out and went
to Advance Auto to buy a new one.  It finally came in yesterday.  I put the
computer in and took it for a test drive.  Sure enough after I got to the
location I was heading to and turned of the car and them immediately
starting it.  All it did was crank and crank but wouldn't turn over.  I
waited at Wal-Mart for almost 2 hours and it still wouldn't start so I
tapped a few things on the engine.  Then the car sounded like it wanted to
start but didn't have enough power and the display lights kept dimming down
and then back to bright rapidly.  I decide to disconnect the battery cables
for the heck of it and then put them back on and retighten them.  After a
few cranks attempts the car started.  After getting two blocks to my house
the car stalls at a stop sign.  I was able to push the car to a spot on the
side of the road and walked home 2 hours later I walked back to the car and
it started right up.

One other thing to note and I think this is some how related to the problem
some how.  When you crank the car in this condition and you get out of the
car.  Every time I touch the door I get shocked.  For an experiment when I
had the car computer out I tried to crank the car and I still got shocked
when I got out and closed the door.

This problem happened the first time the next day after I bought the car.
We bought the car a few miles down the road from our house and only had
driven it the day we bought it short distances.  The next day we decide to
drive out to the mall.  After going to one more store that was in the
opposite direction a half our away.  I went in and came back out and the car
would crank and not start.  After a 10 minute wait it started. I then drove
it one more day after that to see if would do it again and it did.  I took
it back to the deals to have them check it out and they could not duplicate
the problem our even find anything wrong that would be causing this problem.
At least that is what I was told from the dealers.  Since then and its only
been a month it has happened every time the car has been driven and the wait
time is getting longer.

Any idea on what to look at would be helpful at this point.  My next action
is to take it to another auto shop for a second opinion.