proposition 19.20 For one particle the rotational first law is not independent
open in the book ·
parts/03-classical-mechanics/02-newtonian-dynamics.tex:497
· p. 739
Rests on
-
depends_on
definition 19.18
Angular momentum
¶
- depends_on definition 18.3 Particle ¶
-
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 7.16 Limit ¶
- depends_on definition 7.9 Real function ¶
-
depends_on
definition 18.9
Position
¶
- depends_on definition 18.7 Frame of reference ¶
- depends_on definition 18.3 Particle ¶ ↺
- depends_on definition 13.9 Tangent vector to a curve ¶
-
depends_on
definition 7.26
Derivative of a function at a point
¶
- depends_on definition 19.3 Mass ¶
-
depends_on
definition 18.10
Velocity
¶
-
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 ¶ ↺
- proves proof ch:02-newtonian-dynamics@proof-5 ¶
Supports
Nothing declares a dependency on this node yet.
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 |
→ | Angular momentum | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:504 |
depends_on |
→ | Newton's first law | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:504 |
proves |
← | ch:02-newtonian-dynamics@proof-5 | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:507 |