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The title of the book is : Classical Mechanics by John R. Taylor.
I Radius vector in cylindrical coordinates
- Thread starter Oliver321
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The discussion focuses on understanding the representation of vectors in cylindrical coordinates, specifically the vector r defined as r = z*z + p*p. While it is acknowledged that three basis vectors (z, ρ, φ) are typically needed in a vector space, the conversation highlights that in cases of cylindrical symmetry, the φ component may not be necessary, allowing for a two-dimensional treatment using just z and ρ. The importance of the φ vector is emphasized, as its direction affects the orientation of ρ, but in certain problems, it can be treated as constant. The participants clarify that the choice of coordinate system should reflect the problem's symmetry, which can simplify the analysis. Ultimately, the discussion reveals that while three coordinates are generally required, specific scenarios may allow for a reduced dimensionality in vector representation.
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