I have an 01 manual v6 mustang and it has a couple things I'm worried about. It has a very loud whine to it, I believe it might be the transmission pump? It is present when the car is moving, even if its rolling in neutral. Some people have told me this is normal? Also, it has a cable clutch system and the dealership replaced it a month ago, ever since then if the clutch peddle is engaged or disengaged quickly it makes a sound, I honestly can't describe it well. It doesn't happen if I ease it on or off super slowly though, is this normal for a cable clutch? And lastly, if I drive it in first gear in a parking lot even if I'm only going 5 or 10 mph especially if I have it in first and I let off the gas and let it coast in first it makes a grinding type noise. Is this the tranny going out? It goes in and out of gear fine. Is there any way to actually test a transmission?

 

First off a manual transmission does not have a transmission pump, that is unless it is one of those newer automatics with the dash switch to make it a manual shift. But then there would be no clutch to push.
As for the cable clutch they are usually adjustable at the transmission where you will should find a set of locking nuts that can be loosened and ajdusted. But make sure to follow the MFG instructions on how mush slack to leave at the pedal so as not to have constant pressure on the throw out bearing and burn it out and cause premature wear on the clutch diaghram.
You can check your inner transmission sincros by driving the car down the street at just over 35 miles per hour or roughly 60 Kelometers and quickly push in the clutch and place the transmission in neutral and let the clutch back out. Let the car coast in neautral for about a minute or less and then push in the clutch and try to put it into gear again.
You can do this for every gear except reverse for obvious reasons and if there is a grind as you are going back into any of the gears there is a problem with the sincro's for that specific gear. The only fix for this is to take the transmission apart and replace the part or parts.
If while you are driving in a specific gear it is grinding and or clicking you more than likely have chipped gears on the cluster shaft or ajasent gear from someone power shifting the transmission or missing a shift and breaking teeth of the gears as well.
I have also seen a grinding sound from the clutch area when one side of the clutch fork has worn down to far or breaks off and this will **** the throw out bearing and make it harder to shift and grind at the same time however when the car or the clutch is pushed in and out slowly it seems to work okay. Hope some of this helps you out.