Linear-rotational Analogs - General Planar Motion

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:

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