Abstract
We enter the world of three dimensions gently, considering particles which just have mass, without the moments of inertia of a solid body. We see that vector functions of position can be differentiated to give vector velocities and accelerations. We define frames of reference and see how the motion of a particle in a rotating frame can be represented in ‘world axes’. Generalised coordinates are mentioned, though a more mathematical treatment is to be found in the second appendix.
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Billingsley, J. (2018). Particle Kinematics and Dynamics. In: Essentials of Dynamics and Vibrations. Springer, Cham. https://doi.org/10.1007/978-3-319-56517-0_2
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DOI: https://doi.org/10.1007/978-3-319-56517-0_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56516-3
Online ISBN: 978-3-319-56517-0
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