postulate 19.61 Newton's third law, strong form

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:1823 · p. 756

ground object -- no derivation owed

Rests on

depends_on corollary 19.14 Central pair forces are admissible ¶
- depends_on proposition 19.13 Which forces are admissible ¶
  - depends_on definition 18.18 Galilean transformation ¶
    - 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 postulate 18.14 Absolute time ¶
    - depends_on postulate 18.16 Principle of Galilean relativity ¶
  - depends_on theorem 19.12 Galilean covariance of the second law ¶
    - depends_on definition 18.18 Galilean transformation ¶ ↺
    - depends_on equation 19.4 eq:newt-fma ¶
    - depends_on postulate 18.14 Absolute time ¶ ↺
    - proves proof ch:02-newtonian-dynamics@proof-3 ¶
  - proves proof ch:02-newtonian-dynamics@proof-4 ¶
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 18.3 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 ¶ ↺

Supports

depends_on theorem 19.63 The spin obeys the same law about the centre of mass ¶
- depends_on phenomenon 19.65 Spin is conserved when no external torque acts ¶
- depends_on theorem 19.68 Conservation of angular momentum ¶
depends_on theorem 19.62 Rotational second law for a system ¶
- depends_on theorem 19.68 Conservation of angular momentum ¶ ↺

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`	→	Central pair forces are admissible	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1832
`depends_on`	→	Newton's third law	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1832
`depends_on`	←	The spin obeys the same law about the centre of mass	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1893
`depends_on`	←	Rotational second law for a system	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1849