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:

    Everyone confesses in the abstract that exertion which brings out all the powers of body and mind is the best thing for us all; but practically most people do all they can to get rid of it, and as a general rule nobody does much more than circumstances drive them to do.
    Harriet Beecher Stowe (1811–1896)

    The motion picture made in Hollywood, if it is to create art at all, must do so within such strangling limitations of subject and treatment that it is a blind wonder it ever achieves any distinction beyond the purely mechanical slickness of a glass and chromium bathroom.
    Raymond Chandler (1888–1959)