This article describes a particle in planar motion

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  • This article describes a particle in planar motion
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  • Fictitious force
  • general derivations and discussion of fictitious forces
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  • An additional force due to nonuniform relative motion of two reference frames is called a pseudo-force.
  • H Iro in A Modern Approach to Classical Mechanics p. 180
  • In traditional developments of special and general relativity it has been customary not to distinguish between two quite distinct ideas. The first is the notion of a coordinate system, understood simply as the smooth, invertible assignment of four numbers to events in spacetime neighborhoods. The second, the frame of reference, refers to an idealized system used to assign such numbers … To avoid unnecessary restrictions, we can divorce this arrangement from metrical notions. … Of special importance for our purposes is that each frame of reference has a definite state of motion at each event of spacetime.…Within the context of special relativity and as long as we restrict ourselves to frames of reference in inertial motion, then little of importance depends on the difference between an inertial frame of reference and the inertial coordinate system it induces. This comfortable circumstance ceases immediately once we begin to consider frames of reference in nonuniform motion even within special relativity.…the notion of frame of reference has reappeared as a structure distinct from a coordinate system.
  • John D. Norton: General Covariance and the Foundations of General Relativity: eight decades of dispute, Rep. Prog. Phys., 56, pp. 835-7.
  • Louis N. Hand, Janet D. Finch Analytical Mechanics, p. 267
  • The equations of motion in an non-inertial system differ from the equations in an inertial system by additional terms called inertial forces. This allows us to detect experimentally the non-inertial nature of a system.
  • Treat the fictitious forces like real forces, and pretend you are in an inertial frame.
  • V. I. Arnol'd: Mathematical Methods of Classical Mechanics Second Edition, p. 129
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  • This article describes a particle in planar motion
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  • Mechanics of planar particle motion
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