definition 19.40 Total mass

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:1182 · p. 747

ground object -- no derivation owed

Rests on

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 ¶ ↺
depends_on definition 19.3 Mass ¶ ↺

Supports

depends_on definition 19.47 Position of the centre of mass ¶
- depends_on definition 27.6 Centre of gravity ¶
- depends_on definition 19.51 Linear momentum of the centre of mass ¶
  - depends_on definition 19.55 Angular momentum of the centre of mass ¶
    - depends_on proposition 29.14 Angular momentum and kinetic energy ¶
    - depends_on theorem 19.58 Decomposition of the angular momentum ¶
      - depends_on theorem 19.63 The spin obeys the same law about the centre of mass ¶
- depends_on theorem 29.20 Parallel-axis theorem ¶
  - depends_on corollary 29.21 The centre of mass minimizes the moment ¶

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`	→	Body	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1187
`depends_on`	→	Mass	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1187
`depends_on`	←	Position of the centre of mass	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1377