Constraint Forces
For a constrained Newtonian dynamical system the constraints described by the equations (6) are usually implemented by some mechanical framework. This framework produces some auxiliary forces including the force that maintains the system within its configuration manifold . Such a maintaining force is perpendicular to . It is called the normal force. The force from (6) is subdivided into two components
-
.
(13)
The first component in (13) is tangent to the configuration manifold . The second component is perpendicular to . In coincides with the normal force .
Like the velocity vector (8), the tangent force has its internal presentation
-
.
(14)
The quantities in (14) are called the internal components of the force vector.
Read more about this topic: Newtonian Dynamics
Famous quotes containing the words constraint and/or forces:
“In America a woman loses her independence for ever in the bonds of matrimony. While there is less constraint on girls there than anywhere else, a wife submits to stricter obligations. For the former, her fathers house is a home of freedom and pleasure; for the latter, her husbands is almost a cloister.”
—Alexis de Tocqueville (18051859)
“Progressive art can assist people to learn not only about the objective forces at work in the society in which they live, but also about the intensely social character of their interior lives. Ultimately, it can propel people toward social emancipation.”
—Angela Davis (b. 1944)