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:

Read more about this topic:  Linear-rotational Analogs

Famous quotes containing the words general and/or motion:

    A constitutional statesman is in general a man of common opinions and uncommon abilities.
    Walter Bagehot (1826–1877)

    ... The festival-colored brightness
    That is their motion ...
    Gwendolyn Brooks (b. 1917)