Rotation: Angular momentum, Torque, Coriolis effect, Centrifugal force, Centripetal force, Moment of inertia  (English, Paperback, LLC Books, LLC Books, Source Wikipedia)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 81. Chapters: Absolute rotation, Angular momentum, Centrifugal force, Centrifugal force (rotating reference frame), Centripetal force, Circular motion, Coriolis effect, Euler force, Falling cat problem, History of centrifugal and centripetal forces, Instant centre of rotation, Magnetic braking, Mechanics of planar particle motion, Moment of inertia, Reactive centrifugal force, Rigid rotor, Rolling, Rotating unbalance, Rotational spectroscopy, Rotations in 4-dimensional Euclidean space, Rotation around a fixed axis, Rotation formalisms in three dimensions, Rovibronic coupling, Torque. Excerpt: 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. Unlike real forces such as electromagnetic forces, fictitious forces do not originate from physical interactions between objects. The appearance of fictitious forces normally is associated with use of a non-inertial frame of reference, and their absence with use of an inertial frame of reference. The connection between inertial frames and fictitious forces (also called inertial forces or pseudo-forces), is expressed, for example, by Arnol'd: 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. - V. I. Arnol'd: Mathematical Methods of Classical Mechanics Second Edition, p. 129 A slightly different tack on the subject is provided by Iro: An additional fo