Abstract
In this chapter, we discuss the cylindrical polar coordinate system and how it can be used in particle mechanics. This coordinate system and its associated basis vectors find application in a range of problems including particles moving on circular arcs and helical curves. To illustrate applications of the cylindrical polar coordinate system to particle mechanics, two examples involving planar pendula are discussed and a qualitative discussion of some aspects of their dynamics is presented.
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Notes
- 1.
Details of these results are discussed in Section A.4 of Appendix A.
- 2.
We shall discuss this result again in Section 5.9.5 on Page 114 and show that the result is equivalent to energy conservation.
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O’Reilly, O.M. (2019). Particles and Cylindrical Polar Coordinates. In: Engineering Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-030-11745-0_2
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DOI: https://doi.org/10.1007/978-3-030-11745-0_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-11744-3
Online ISBN: 978-3-030-11745-0
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