Hi, In a guide I saw this point for when replacing a new cassette: Fit the lockring using the lockring tool, refit the quick-release without its conical springs and tighten the lockring with an adjustable spanner until you hear or feel three or four distinct clicks. Remove the quick-release. Refit the quick-release's conical springs and refit the quick-release to the wheel.
Is this correct? Why?
See
http://bikeride.com/replace-cassette-cluster/ which should help you. Cassettes go on a freehub body. The cassette is held on by a lock ring, which must be removed with a spanner to remove the cassette. The cassette will rotate and not be still, so the chain whip tool is required to hold the cassette while you remove the lock ring.
Why is it that they make adult bikes that'll generally work for 5'9" or above, yet when you pedal these same bikes they only work for someone who is 5'4" or so?
You've missed my question. It is about this "refit the quick-release without its conical springs and tighten the lockring with an adjustable spanner..... blah blah easy then:
Remove the quick-release. Refit the quick-release's conical springs and refit the quick-release to the wheel.
What purpose does putting the quick release on without the springs have before tightening the lockring...?
I think using the quick release without springs is just a trick to help keep the lockring in place, so it doesn't fall out while tightening. If you do this, you should install the springs again before installing the wheel.