definition 19.47 Position of the centre of mass
open in the book ·
parts/03-classical-mechanics/02-newtonian-dynamics.tex:1372
· p. 750
- ground object -- no derivation owed
Rests on
-
depends_on
definition 19.39
Body
¶
- depends_on definition 18.4 Body ¶
-
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 18.8
Inertial frame of reference
¶
- depends_on definition 19.40 Total mass ¶
Supports
- 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 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
definition 19.55
Angular momentum of 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:1377 |
depends_on |
→ | Total mass | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1377 |
depends_on |
← | Centre of gravity | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:176 |
depends_on |
← | Linear momentum of the centre of mass | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1523 |
depends_on |
← | Parallel-axis theorem | declared | parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:559 |