definition 19.30 Conservative force and potential energy

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:823 · p. 742

Rests on

depends_on definition 27.13 Central force ¶
- depends_on definition 27.14 Central motion ¶
  - depends_on definition 27.16 Areal velocity ¶
depends_on definition 19.31 Energy ¶
- depends_on proposition 27.20 Conservation of energy ¶
- depends_on theorem 19.32 Conservation of energy ¶
  - depends_on phenomenon 50.6 No material surface ¶
  - depends_on phenomenon 19.33 Mechanical energy is conserved ¶
  - depends_on theorem 21.43 Conservation of energy ¶
    - depends_on proposition 29.36 Three first integrals ¶
      - depends_on phenomenon 29.38 Nutation of a released top ¶
      - depends_on proposition 29.43 The three integrable heavy tops ¶
      - depends_on proposition 29.40 The sleeping top ¶
      - depends_on theorem 29.37 Reduction to one degree of freedom ¶
    - depends_on theorem 27.10 Lagrange–Dirichlet ¶
depends_on proposition 19.71 The Newtonian closed system is a Lagrangian system ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	eq:newt-second-law	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:831
`depends_on`	→	Newton's second law	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:831
`depends_on`	←	Central force	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:387
`depends_on`	←	Energy	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:857
`depends_on`	←	The Newtonian closed system is a Lagrangian system	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:2180