Rotation Dynamics  

Gyroscopic Motion

Equations of motion for a gyroscope are derived by considering the torques.

Rotation Dynamics  

Rotating coordinate system

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.

Rotation Dynamics  

2D Rotational Dynamics

The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.

Rotation Dynamics  

2D Rotational Kinematics

The description of 2D rotational motion is developed in analogue to linear kinematics.

Rotation Dynamics  

The Square Cat

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.

Rotation Dynamics  

Heavy Symmetrical Top

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.

Rotation Dynamics  

Stability of Rotation

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.

Rotation Dynamics  

Torque Free Motion

Study of the motion of a spinning solid object with not torques or forces applied.