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Particularly when studying angular momentum, which requires motion in at least two dimensions.vanhees71 said:
I Problem with understanding angular momentum
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The discussion revolves around the confusion surrounding the angular momentum equation (mrv) and its application in elastic collisions involving spheres of different radii. It highlights the misconception that radius can be omitted from the angular momentum equation, emphasizing that the centers of the spheres must be the same for proper conservation calculations. The conversation also touches on the relationship between angular momentum and kinetic energy, clarifying that while kinetic energy conservation applies in elastic collisions, angular momentum describes the rotational dynamics of objects with varying radii. Additionally, the participants explore how pulling an object closer to a pivot increases its speed due to conservation laws, leading to a deeper inquiry into the mathematical foundations of these concepts. The thread concludes with a request for resources to better understand these principles, particularly in polar coordinates.