Приклади вживання Equations of motion Англійська мовою та їх переклад на Українською
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Tags: 2р-2h interactions; equations of motion method.
Title: Modified equations of motion method in calculation of quantum systems.
Tags: 2р-2h effects; density functional; equations of motion.
With these initial data, the equations of motion completely determine the behaviour of the system at all subsequent instants.
One then evolves the quadrature points in time according to the Bohm equations of motion.
Tags: 2р-2h interactions; equations of motion method; ozone.
The Atwood machine is sometimesused to illustrate the Lagrangian method of deriving equations of motion.
The equations of motion are the simplest for the particles that orbit in a center-of-mass system and when the center is used as the origin in the co-ordinate frame.
Asteroid approach did not occur during an observed apparition.Passage is calculated by integrating the equations of motion.
In this form the equations of motion are called Newton's equations and form the basis of the mechanics of a systemof interacting particles.
Since there are four(independent)constants of motion for degrees of freedom the equations of motion for a test particle in Kerr spacetime are integrable.
The equations of motion are the Navier-Stokes equations defined in the resting frame coordinates x→= x→ m- U→⋅ t{\displaystyle{\vec{x}}={\vec{ x}}_{ m}-{\ vec{U}}\cdot t}.
We use Bateman algorithm[1]to set exact solution of the linearized equations of motion for perturbation in vertical granular chain under the confinement.
In the equations of motion, the heat energy dissipation tensor associated with the heat supply surface and characterizing the presence of a negative thermal resistance is specified.
The forces and moments of all nodes are collected into a column vector(or column matrix),and the time dependent equations of motion(in dynamic equilibrium) can be written as follows.
In direct gravitational N-body simulations, the equations of motion of a system of N particles under the influence of their mutual gravitational forces are integrated numerically without any simplifying approximations.
A projectile is any object thrown into space(empty or not) by the exertion of a force.[1] Although any object in motion through space(for example a thrown baseball) may be called a projectile, the term more commonly refers to a ranged weapon.[2][3]Mathematical equations of motion are used to analyze projectile trajectory.
The equations of motion for test particles in the Kerr spacetime are governed by four constants of motion.[14] The first is the invariant mass μ{\displaystyle\mu} of the test particle, defined by the relation.
For the second-year students we offer the differential geometry course(semesters 3 and 4), in frame of which we study the properties of curves on a plane and in the space, give the mechanical interpretation of geometric characteristics of a curve, apply the Serret-Frenet formulas to describe the motion of a rigid body and to find the vector of instantaneous rotation(the Darboux vector),use the geometric methods to derive the equations of motion of a material point.
Consistent equations of motion can be constructed for a charged particle moving in the field of a magnetic monopole and for a magnetic monopole moving in the field of a particle only if the electric charge e of the particle and the magnetic charge jut of the magnetic monopole are related by the equation. .
The Equations of Motion§5 from the principle of least action by independently varying each of the co- coordinates(i.e. by proceeding as if the remainder were given quantities), we can find the Lagrangian La of the system A by using the Lagrangian L of the whole system A+ B and replacing the co-ordinates qв therein by given functions of time.
Equation of motion for a freely falling body.
Keywords: wheeled vehicles, the equation of motion, the law of conservation of energy.
So in classical mechanics theaction principle is equivalent to Newton's equation of motion.
Another method is the“semi-classical equation of motion” approach, which applies to systems for which quantum mechanics produces only weak(small) deviations from classical behavior.
Conversely, the action principle proves Newton's equation of motion given the correct choice of action.
The equation of motion for the superfluid component, in a somewhat simplified form,[12] is given by Newton's law.
Then the equation of motion for the mass m when an external harmonic force F is present has the form.
In general, the driving behavior of a single driver-vehicle unit α{\displaystyle\alpha} might not merely depend on the immediate leader α- 1{\displaystyle\alpha -1} but on the n a{\displaystyle n_{a}} vehicles in front.The equation of motion in this more generalized form reads:.