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equation of motion

   Also found in: Wikipedia 0.01 sec.
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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Apart from the constitutive relations, the governing equations for displacement and temperature fields, as in the linear dynamical theory of classical thermoelasticity consist of the coupled partial differential equation of motion and the Fourier heat conduction equation.
Definition of the distribution function and equation of motion Because of its definition as probability density the distribution function is the number fraction f(l,n,x,t) = N(l,n,x,t) / N(x,t) (1.
For the elimination of this disadvantage, some authors suggest to multiply the damping part of the impact force by displacement; then the equation of motion during impact will be m[?
 
 
 
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