proposition 19.13 Which forces are admissible
open in the book ·
parts/03-classical-mechanics/02-newtonian-dynamics.tex:340
· p. 737
Rests on
-
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
definition 18.8
Inertial frame of reference
¶
-
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 ¶
Supports
-
depends_on
corollary 19.14
Central pair forces are admissible
¶
-
depends_on
postulate 19.61
Newton's third law, strong form
¶
-
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 ¶ ↺
-
depends_on
theorem 19.63
The spin obeys the same law about the centre of mass
¶
-
depends_on
postulate 19.61
Newton's third law, strong form
¶
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 |
→ | Galilean transformation | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:354 |
depends_on |
→ | Galilean covariance of the second law | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:354 |
depends_on |
← | Central pair forces are admissible | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:383 |
proves |
← | ch:02-newtonian-dynamics@proof-4 | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:357 |