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
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“All the phenomena which surround him are simple and grand, and there is something impressive, even majestic, in the very motion he causes, which will naturally be communicated to his own character, and he feels the slow, irresistible movement under him with pride, as if it were his own energy.”
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