I understand the subject mathematically. Azimuth of the celestrial object under track changes a finite 180 degrees instead of a infinitesimal amount as the body passes zenith. This would require infinite rotational speed from the telescope, which is impossible.
But what I need is really a physical and intuitive picture. I just don't understand why the telescope can't simply 'flip over' around the horizontal axis. And how would the telescope actually move to keep track of the object?
I've been searching for a educational illustration or animation, but the best result google offers is this Youtube video
Any help would be appreciated, especially if one with an illustration. Thanks!