proposition 19.36 Work of a torque

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:1060 · p. 745

Rests on

depends_on definition 19.34 Work ¶
- depends_on definition 18.3 Particle ¶
- depends_on postulate 19.8 Newton's second law ¶
  - 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 18.9 Position ¶
      - depends_on definition 13.9 Tangent vector to a curve ¶
    - depends_on definition 19.3 Mass ¶
      - depends_on definition 18.3 Particle ¶ ↺
      - depends_on postulate 19.1 Inertia ¶
  - depends_on postulate 19.6 Newton's first law ¶
    - 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 19.5 Linear momentum ¶ ↺
depends_on equation 19.15 eq:newt-torque-force ¶
proves proof ch:02-newtonian-dynamics@proof-11 ¶

Supports

depends_on corollary 19.37 Rotational power ¶

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`	→	Work	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1073
`depends_on`	→	eq:newt-torque-force	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1073
`depends_on`	←	Rotational power	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1121
`proves`	←	ch:02-newtonian-dynamics@proof-11	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1076