equation of motion

[i′kwā·zhən əv ′mō·shən]

(fluid mechanics)

One of a set of hydrodynamical equations representing the application of Newton's second law of motion to a fluid system; the total acceleration on an individual fluid particle is equated to the sum of the forces acting on the particle within the fluid.

(mechanics)

Equation which specifies the coordinates of particles as functions of time.

A differential equation, or one of several such equations, from which the coordinates of particles as functions of time can be obtained if the initial positions and velocities of the particles are known.

(quantum mechanics)

A differential equation which enables one to predict the statistical distribution of the results of any measurement upon a system at any time if the initial dynamical state of the system is known.

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References in periodicals archive

Applying the equation of motion of the mass density, i.e., (57), on (59), the equation of motion of the current density, i.e., (58), can be further simplified as follows:

Noncommutative Effects on the Fluid Dynamics and Modifications of the Friedmann Equation

In this case, the analog of (28) can be derived and all the used majorant bounds can be applied for the proof of the existence of periodic solution of the considered equation of motion.

Coulomb Planar Periodic Motion of n Equal Charges in the Field of n Equal Positive Charges Fixed at a Line and Constant Magnetic Field

The fractional Hamiltonian equation of motion can be determined as follow

HAMILTONIAN FORMULATION FOR SINGLE FLUID FLOWS WITH CAPUTO'S DEFINITION

In this case, the runaway and causal problems are eliminated and the exact equation of motion of a charged particle was recently given by Rohlrich [34] and Yaghjian [35].

Mass of a charged particle with complex structure in zeropoint field

Substituting (2) into (1) and differentiating both sides of the resulting equation with respect to x, we rewrite the equation of motion for the strain [U.sub.X].

Unidirectional wave motion in a nonlocally and nonlinearly elastic medium: the KdV, BBM, and CH equations/Uhesuunaline lainelevi mittelokaalses ja mittelineaarses elastses keskkonnas: KdV, BBM ning CH vorrandid

Multibody Formulation and System Equation of Motion

Static analysis of large-scale multibody system using joint coordinates and spatial algebra operator

In the latter case, having found the possible solutions of the equation of motion, one has to face the issue of the appropriate weighed average of the associated energy losses.

Larmor precession and debye relaxation of single-domain magnetic nanoparticles

It may be obtained if the structure velocity term in the Morison equation is transferred from the force vector on right hand side to the damping term on the left hand side in the governing equation of motion. The structural damping follows Eq.

Structural behaviour of fully coupled spar-mooring system under extreme wave loading

We now use our nonlinear transformation approach to find the equivalent equation of motion of the damped pendulum equation [21]

Investigation of the equivalent representation form of strongly damped nonlinear oscillators by a nonlinear transformation approach

The introductory chapter addresses dynamic response, formulation of the equation of motion, dynamic degrees of freedom, modeling, analysis, and testing.

Dynamics of structures

We now consider the equation of motion of yarn (Pracek, 2002):

Oscillations in the yarn tension during the yarn unwinding from packages