I have a 1998 jeep Cherokee with cooper tires on the front what is the correct tire pressure for the jeep

The mechanical stops for the steering may not be correct, OR it is 'normal' and because the wheel is turned so far the inside tire is really scrunched. Also try increasing the tire pressure to the max in the manual

Couple of common choices around here
If you want an All terrain that's good in the snow, rain and quiet, go with Cooper Discover AT/3 or more aggressive Goodyear Duractrac.

If you want Best MPG
Michelin Latitude tours

Tons of other great tire choices, but you didn't give us any details =(

VSA VECHICLE STABILITY ASSIST.check air pressure in all the tires.if all tires pressure is correct.take vechicle to jeep dealership let them do a diagnostic check.

besides checking tire size and tire pressure the first thing you want to do is jack it up take the front tires off try to wiggle the tire in and out not side to side if the tire has any play you need to inspect your ball joints your tie end rods and tie rod ends,and it wouldn't hurt to inspect the universal joints as well as your sway bar bushing and you might want to check the front steering gear box inspect the steering shaft shocks and coil springs or struts whatever you have check the steering damper if you have one and your wheel bearings.just a tip with the ball joints you should be able to take a grease gun and fill your ball joints and anything else you see with a grease fitting it should help but if its as bad as your saying it is this should take care about all of it except for realignment .this is everything i had to change on my 89 cherokee to get it to drive worth a darn

this could be a low tire indicator check your tire pressure in all for tires they are setup so they activate if a tire gets 3-5 pounds lower than any of the other tires

There are lots of possible causes, and they can all be fixed.

One is alignment. If there is a bent tierod or something from hitting a curb, the front tires will be scrapping sideways slightly, and very noisy.
Very high traction tires are also very noisy inherently.
Wheel bearing will also do this, but unlikely at this new age.
Rotating radial tires from one side to another will cause excess tire noise because cords will be slack in the tire. But there is not much that can be done if that is the case except new tires.
Tire pressure either to high or low can be very noisy.
Wheel balance can do it also.

Move the passenger side rear tire to the front, and passenger side front to driver side rear. Switch the driver side rear tire to the front and driver side front to passenger side rear. Repeat this "X" pattern each time you rotate the tires. Rotate the tires from side to side if the tires are different sizes on the front and rear.

This is the better solution. Hope helped (remember rated this help)

For more details about Jeep Cherokee, review the Service Manual.

Good luck.

defective pinion bearing?

All you have to do is jack the front end up off the ground, take the lug nuts off, pull the tire off, un bolt the caliper bolts off , take the caliper off , and rotors should come right out, do the opposite putting them back on . its simple.......

Hello partner. The difference in air pressure variations from a 16',17' or 20" tires is a non-factor. Any size tire will go up about 1psi per 10 degrees ambient temperature. The recommended pressure for an 03 Grand Cherokee is 33psi. So if it's a rainy 55 degrees in the great northwest when you set your pressures the temperature on your trip to Death Valley would have to climb to about 175 degrees. On a different note maybe your alarm just isn't calibrated correctly.