proposition 18.32 Tangential and centripetal components

open in the book · parts/03-classical-mechanics/01-kinematics.tex:966 · p. 729

Rests on

depends_on definition 18.27 Angular position, velocity and acceleration ¶
- depends_on definition 18.11 Acceleration ¶
  - depends_on definition 7.26 Derivative of a function at a point ¶
    - depends_on definition 7.16 Limit ¶
      - depends_on definition 7.2 Absolute value ¶
      - depends_on definition 7.9 Real function ¶
    - depends_on definition 7.9 Real function ¶ ↺
  - 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 18.7 Frame of reference ¶
      - depends_on definition 18.3 Particle ¶
    - depends_on definition 13.9 Tangent vector to a curve ¶
      - depends_on definition 13.8 Curve ¶
- depends_on definition 18.9 Position ¶ ↺
- depends_on definition 18.10 Velocity ¶ ↺
depends_on phenomenon 18.31 Uniform circular motion is accelerated motion ¶
- depends_on definition 18.11 Acceleration ¶ ↺
- depends_on definition 18.27 Angular position, velocity and acceleration ¶ ↺
- proves proof ch:01-kinematics@proof-9 ¶
proves proof ch:01-kinematics@proof-10 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Angular position, velocity and acceleration	declared	parts/03-classical-mechanics/01-kinematics.tex:981
`depends_on`	→	Uniform circular motion is accelerated motion	declared	parts/03-classical-mechanics/01-kinematics.tex:981
`proves`	←	ch:01-kinematics@proof-10	declared	parts/03-classical-mechanics/01-kinematics.tex:984