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:

    Hence that general is skilful in attack whose opponent does not know what to defend; and he is skilful in defense whose opponent does not know what to attack.
    Sun Tzu (6th–5th century B.C.)

    The moments of the past do not remain still; they retain in our memory the motion which drew them towards the future, towards a future which has itself become the past, and draw us on in their train.
    Marcel Proust (1871–1922)