Beryl,
One last try and then I'll go away and leave you alone.
Forget "nose heavy".
Think "pitch", aka deck angle, or preferably, angle of attack.
Within limits of course, angle of attack directly controls the amount of lift generated by the wing. Yes, other parameters are also involved but this angle is what the pilot has control of via the stick.
For straight and level unaccelerated flight, lift equals weight. (thrust equals drag too, but that's another story)
As speed increases _so will lift_, unless something is done to keep that from happening. THAT trick is simply pushing the nose down.
(Airliners often pump fuel forward(!) but that's a bit over the top for light aircraft)
By lowering the nose, the angle of attack is decreased, thereby decreasing the coefficient of lift, and, if done right, maintaining a constant altitude (the level part of straight and level)
Ok?
That's the whole of it.
So...
Quote Of course trim needs chsnge. Richard apparently believes that some nose-down is ALWAYS needed, and only the /amount/ of nose-down changes as speed changes.
So for the discussion of a racer at 500 MPH, Yeah, True, Si, Da...
When landing, no.