The laws of motion, the equations of linear and angular momentum derived for a system of particles, are assumed to apply to rigid bodies with natural adaptations. The inertia tensor is presented as a tool for computing the angular momentum and kinetic energy of a rigid body. The properties of the inertia tensor are considered, particularly the principal axes and principal moments of inertia. The equation of angular momentum is presented using differentiation relative to a rotating frame. Examples having increasing complexity are provided, including examples of gyroscopic motion.

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Kinetics of Rigid Bodies

  • Reuven Segev,
  • Oriel Shoshani,
  • Gal Shmuel

摘要

The laws of motion, the equations of linear and angular momentum derived for a system of particles, are assumed to apply to rigid bodies with natural adaptations. The inertia tensor is presented as a tool for computing the angular momentum and kinetic energy of a rigid body. The properties of the inertia tensor are considered, particularly the principal axes and principal moments of inertia. The equation of angular momentum is presented using differentiation relative to a rotating frame. Examples having increasing complexity are provided, including examples of gyroscopic motion.