definition 29.1 Rigid body

open in the book · parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:44 · p. 977

ground object -- no derivation owed

Rests on

depends_on definition 21.2 Holonomic constraint ¶
depends_on definition 19.39 Body ¶
- depends_on definition 18.4 Body ¶
  - depends_on definition 18.3 Particle ¶
- depends_on definition 19.3 Mass ¶
  - depends_on definition 18.3 Particle ¶ ↺
  - depends_on postulate 19.1 Inertia ¶
    - depends_on definition 18.8 Inertial frame of reference ¶
      - depends_on definition 18.7 Frame of reference ¶
      - depends_on definition 18.6 Free particle ¶
    - depends_on definition 18.3 Particle ¶ ↺

Supports

depends_on proposition 29.2 Six degrees of freedom ¶
- depends_on theorem 29.3 Euler's rotation theorem ¶
  - depends_on notation 29.9 The $z$–$x$–$z$ Euler angles used in this treatise ¶
    - depends_on proposition 29.11 Angular velocity in Euler angles ¶
      - depends_on definition 29.35 The Lagrange top ¶
      - depends_on remark 29.12 The coordinate singularity, and what it is not ¶
    - depends_on remark 29.10 Other conventions, and why the choice must be stated ¶
  - depends_on proposition 125.2 Crystallographic restriction ¶
    - depends_on remark 125.3 What the theorem does and does not forbid ¶
  - depends_on proposition 29.8 Chasles: the general displacement is a screw ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Holonomic constraint	declared	parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:51
`depends_on`	→	Body	declared	parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:51
`depends_on`	←	Six degrees of freedom	declared	parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:59