Steering Issues

I have a 93 Jeep Cherokee and when ever I am making a turn either right or left, I get a pulsing feel from the steering wheel. The is a recent occurance and I am having trouble decifering what the issue is. I noticed that my powersteering pump was low so I topped it off and it still is having the problem. My first thought is the pump itself is going bad. I noticed the radiator hose under the pump is wet, also the thing that looks like a shock absorber under the front end is wet also. Anyone have any thoughts as to what this may be?

Your "shock absorber thing" is a steering stablizer, if it is shot you'll get that "pulse" feeling. Luckly they are fairly inexpensive. To check it, remove it from your Jeep, push the rod down, it should respond quickly, if not replace it.