Not cranking over

Engine Mechanical problem
2001 Dodge Intrepid 4 cyl Two Wheel Drive Automatic 850000 miles

The car started to smoke under the hood make a loud nose and then it cut off it will turn over but will not crank up

Electrical problem
2001 Dodge Intrepid 6 cyl Front Wheel Drive Automatic 109000 miles

when I try to start the car, I turn the ignition on and the fuel pump comes on for a few seconds along with the dash lights but in the starter position there is nothing. I swapped out the starter relay, and verifyed that the starter itself was good. I also did a check on the ignition voltage supply to the relay and it is good. I am not shure if it is the pcm, or the wiring going to the pcm, or if the pcm is not getting proper input. I do know that the ground coming out of the pcm and going to the starter relay is insuficient. I am still not shure what it is?

The car will not even roll over when attempting to start. I did verify that the actual starter motor does crank the engine, I jumped the contacts in the relay socket and the starter motor worked fine so I know I dont need a starter. If I independantly grounded the one side of the coil (of the starter relay) that the pcm is supposed to ground, the other side that the ignition supplies works fine, so I am assuming that the park/neutral switch that is wired in series work fine also.
The part I dont under stand is why the pcm wont atomaticly send ground to the starter relay when it is calling for it?
Do I have a bad pcm, or wrong imput from any sensor, or is there any kind of short?

The start circuit comes from the ignition switch to the relay then computer grounds it then power is transfered thru the light green wire to the starter solenoid, you said.

The relay is not grounded by the computer, why?

Electrical problem
2001 Dodge Intrepid 6 cyl Front Wheel Drive Automatic 170000 miles

If I can get an accurate response I will start donating $. But at this point want to see what you think! When I turn the Key back and forth I get a quick turn of the starter but cuts out right away. I replaced the electric ignition switch but still the same. I get a quick power to the solenoid wire but cuts out right away. Its a new starter, and electric ingnition switch. Seems to work better while in netrual. But it only cranks for a second but stops right away. Ran a direct hot wire to the solenoid and cranks fine. What do you think? I am interested in your forein, and domestic service manuals, can you give me some prices also? Can you send me a wiring diagram of this system? Thank You!

In my last reply, I did not word it right. I said that the starter relay is not grounded by pcm/computer. I ment to say that the starter relay is not being grounded by the pcm/computer, big difference.

Do you know why, or what would cause that.

Also, I did check the starter and it cranks the engine over fine when I jump it right at the relay socket, under the hood.

Engine Mechanical problem
2001 Dodge Intrepid 6 cyl Front Wheel Drive Automatic 110000 miles

During stopping at a light the car went dead. The car would crank very well but would not run at all, just the starter turning the engine with no cylinders firing. I believe I have a low spark to the plugs, as I tested for this. All fuses check good and I can hear the fuel pump run for a few seconds once the key is turn, so I am suspecting the CPU ignition control module.