Linear-rotational Analogs - Euler's Equations For Rigid Body Dynamics

Euler's Equations For Rigid Body Dynamics

Euler also worked out analogous laws of motion to those of Newton, see Euler's laws of motion. These extend the scope of Newton's laws to rigid bodies, but are essentially the same as above. A new equation Euler formulated is:

where I is the moment of inertia tensor.

Read more about this topic:  Linear-rotational Analogs

Famous quotes containing the words rigid, body and/or dynamics:

    Let’s call something a rigid designator if in every possible world it designates the same object, a non-rigid or accidental designator if that is not the case. Of course we don’t require that the objects exist in all possible worlds.... When we think of a property as essential to an object we usually mean that it is true of that object in any case where it would have existed. A rigid designator of a necessary existent can be called strongly rigid.
    Saul Kripke (b. 1940)

    With my whole body I taste these peaches,
    I touch them and smell them. Who speaks?
    I absorb them as the Angevine
    Absorbs Anjou. I see them as a lover sees,
    As a young lover sees the first buds of spring
    And as the black Spaniard plays his guitar.
    Wallace Stevens (1879–1955)

    Anytime we react to behavior in our children that we dislike in ourselves, we need to proceed with extreme caution. The dynamics of everyday family life also have a way of repeating themselves.
    Cathy Rindner Tempelsman (20th century)