theorem 19.68 Conservation of angular momentum

Rests on

• depends_on theorem 19.63 The spin obeys the same law about the centre of mass ¶
  • depends_on lemma 19.57 The centre of mass is the origin of its own frame ¶
    • depends_on equation 19.38 eq:newt-cm-position ¶
    • depends_on equation 19.49 eq:newt-cm-relative ¶
    • proves proof ch:02-newtonian-dynamics@proof-18 ¶
  • depends_on postulate 19.61 Newton's third law, strong form ¶
    • 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 theorem 19.12 Galilean covariance of the second law ¶
        • 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 postulate 19.8 Newton's second law ¶
        • depends_on definition 19.5 Linear momentum ¶
        • depends_on postulate 19.6 Newton's first law ¶
  • depends_on theorem 19.58 Decomposition of the angular momentum ¶
    • depends_on definition 19.55 Angular momentum of the centre of mass ¶
      • depends_on definition 19.18 Angular momentum ¶
        • depends_on definition 18.3 Particle ¶ ↺
        • depends_on definition 19.5 Linear momentum ¶ ↺
      • depends_on definition 19.51 Linear momentum of the centre of mass ¶
        • depends_on definition 19.47 Position of the centre of mass ¶
        • depends_on definition 19.5 Linear momentum ¶ ↺
    • depends_on equation 19.44 eq:newt-cm-momentum ¶
    • depends_on lemma 19.57 The centre of mass is the origin of its own frame ¶ ↺
    • proves proof ch:02-newtonian-dynamics@proof-19 ¶
  • proves proof ch:02-newtonian-dynamics@proof-22 ¶
• depends_on theorem 19.62 Rotational second law for a system ¶
  • depends_on equation 19.2 eq:newt-second-law ¶
  • depends_on equation 19.14 eq:newt-torque ¶
  • depends_on postulate 19.61 Newton's third law, strong form ¶ ↺
  • proves proof ch:02-newtonian-dynamics@proof-21 ¶
• proves proof ch:02-newtonian-dynamics@proof-25 ¶

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