lemma 19.57 The centre of mass is the origin of its own frame
open in the book ·
parts/03-classical-mechanics/02-newtonian-dynamics.tex:1710
· p. 754
Rests on
- 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 ¶
Supports
- depends_on corollary 19.59 Decomposition of the 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 phenomenon 19.65 Spin is conserved when no external torque acts ¶
- depends_on theorem 19.68 Conservation of angular momentum ¶
-
depends_on
theorem 19.63
The spin obeys the same law about the centre of mass
¶
- depends_on theorem 19.63 The spin obeys the same law about 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-position | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1717 |
depends_on |
→ | eq:newt-cm-relative | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1717 |
depends_on |
← | Decomposition of the kinetic energy | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1776 |
depends_on |
← | Decomposition of the angular momentum | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1745 |
depends_on |
← | The spin obeys the same law about the centre of mass | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1893 |
proves |
← | ch:02-newtonian-dynamics@proof-18 | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1720 |