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Mechanics of Planar Particle Motion
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High Quality Content by WIKIPEDIA articles! This article describes a particle in planar motion when observed from non-inertial reference frames. The most famous examples of planar motion are related to the motion of two spheres that are gravitationally attracted to one another, and the generalization of this problem to planetary motion. See centrifugal force, two-body problem, orbit and Kepler's laws of planetary motion. Those problems fall in the general field of analytical dynamics, the determination of orbits from given laws of force. This article is focused more on the kinematical issues surrounding planar motion, that is, determination of the forces necessary to result in a certain trajectory given the particle trajectory. General results presented in fictitious forces here are applied to observations of a moving particle as seen from several specific non-inertial frames, for example, a local frame (one tied to the moving particle so it appears stationary), and a co-rotating frame (one with an arbitrarily located but fixed axis and a rate of rotation that makes the particle appear to have only radial motion and zero azimuthal motion). The Lagrangian approach to fictitious forces is introduced.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130250744
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Genre Technik
- Anzahl Seiten 120
- Größe H220mm x B150mm x T7mm
- Jahr 2009
- EAN 9786130250744
- Format Kartonierter Einband
- ISBN 978-613-0-25074-4
- Titel Mechanics of Planar Particle Motion
- Untertitel Classical mechanics, Analytical mechanics, Generalized forces, Curvilinear coordinates, Generalized coordinates, Frenet-Serret formulas, Polar coordinate system, Lagrangian, Lagrangian mechanics
- Gewicht 195g
- Herausgeber Alphascript Publishing
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