theorem 19.52 The centre of mass moves as a particle

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:1582 · p. 753

Rests on

depends_on equation 19.44 eq:newt-cm-momentum ¶
depends_on equation 19.45 eq:newt-momentum-completeness ¶
depends_on postulate 19.48 Newton's third law ¶
- depends_on definition 19.2 Interaction ¶
  - 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 postulate 19.8 Newton's second law ¶
  - depends_on definition 19.5 Linear momentum ¶
    - depends_on definition 18.10 Velocity ¶
      - depends_on definition 7.26 Derivative of a function at a point ¶
      - depends_on definition 18.9 Position ¶
      - depends_on definition 13.9 Tangent vector to a curve ¶
    - depends_on definition 19.3 Mass ¶
      - depends_on definition 18.3 Particle ¶ ↺
      - depends_on postulate 19.1 Inertia ¶ ↺
  - depends_on postulate 19.6 Newton's first law ¶
    - depends_on definition 18.8 Inertial frame of reference ¶ ↺
    - depends_on definition 19.5 Linear momentum ¶ ↺
proves proof ch:02-newtonian-dynamics@proof-16 ¶

Supports

depends_on theorem 19.67 Conservation of linear momentum ¶
- depends_on theorem 19.69 Uniform motion of the centre of mass ¶

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`	→	eq:newt-cm-momentum	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1594
`depends_on`	→	eq:newt-momentum-completeness	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1594
`depends_on`	→	Newton's third law	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1594
`depends_on`	←	Conservation of linear momentum	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:2037
`proves`	←	ch:02-newtonian-dynamics@proof-16	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1598