The angular momentum principle is a fundamental principle. So it can explain a large variety of phenomenon. Doesn't it need concepts like center of mass also for explaining phenomenon? Or just the angular momentum principle can explain these phenomenon?
closed as unclear what you're asking by Ben Crowell, Emilio Pisanty, Crazy Buddy, Manishearth♦ Sep 8 at 8:30
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Even fundamental principles require a framework in which they hold. The conservation of angular momentum for example requires the concepts of space, time and mass. Before you can speak of angular momentum (and its conservation), you need to define what it refers to. In this case, it would be the rotational motion of some body around a certain axis. You have to be able to speak about motion (change in time), position (spatial properties) and fundamental properties of the moving object (mass).
That there exist fundamental principles (like conservation laws in classical mechanics, gauge invariance in particle physics, ...) does not mean there is nothing else to physics. It just means that these principles stand at the core of the physical description of our universe, and that their impact on the phenomena we observe is of great importance.