Articles for subject Rotation Dynamics

  • Equations of motion for a gyroscope are derived by considering the torques.
  • In a rotating coordinate system, a free particle moves in a way that appears to be affected by three forces: the centrifugal force, the Coriolis force and the Euler force. These forces arise only from the rotation of the coordinate system.
  • The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.
  • The description of 2D rotational motion is developed in analogue to linear kinematics.
  • An extremely simplified model of a cat (just four masses!) is presented, following Putterman and Raz [Am. J. Phys. 76, 1040 (2008)]. This simple model is enough to show how a deformable body is able to rotate itself despite conserving angular momentum.
  • The equations of motion for a heavy symmetrical top are derived in terms of the Euler angles and using a Lagrangian approach. The solutions are examined numerically.
  • Given an object spinning around some axis with no external torques applied, how stable the rotation is depends around which principal axes the rotation is close to.
  • Study of the motion of a spinning solid object with not torques or forces applied.
© Copyright 2021 Alexei Gilchrist