Articles for subject Rotation Dynamics
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Equations of motion for a gyroscope are derived by considering the torques.
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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.
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The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.
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The description of 2D rotational motion is developed in analogue to linear kinematics.
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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.
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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.
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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.
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Study of the motion of a spinning solid object with not torques or forces applied.