General Planar Motion
See also: Polar coordinate system (section: vector calculus)The previous equations for planar motion can be used here: corollaries of momentum, angular momentum etc. can immediately follow by applying the above definitions. For any object moving in any path in a plane,
the following general results apply to the particle.
| Kinematics | Dynamics |
|---|---|
| Position | |
| Velocity
|
Momentum
Angular momenta |
| Acceleration
|
The centripetal force is
where again m is the mass moment, and the coriolis force is The Coriolis acceleration and force can also be written: |
Read more about this topic: Linear-rotational Analogs
Famous quotes containing the words general and/or motion:
“According to the historian, they escaped as by a miracle all roving bands of Indians, and reached their homes in safety, with their trophies, for which the General Court paid them fifty pounds. The family of Hannah Dustan all assembled alive once more, except the infant whose brains were dashed out against the apple tree, and there have been many who in later time have lived to say that they have eaten of the fruit of that apple tree.”
—Henry David Thoreau (18171862)
“till disproportiond sin
Jarrd against natures chime, and with harsh din
Broke the fair musick that all creatures made
To their great Lord, whose love their motion swayd
In perfect Diapason, whilst they stood
In first obedience, and their state of good.”
—John Milton (16081674)