# Equilibrium of forces

## Equilibrium of forces

In a mechanical system the condition under which no acceleration takes place. Newtonian mechanics today is based upon two definitions which modify, but are essentially equivalent to, Newton's three fundamental laws. These definitions postulate the action of forces on particles. A particle is defined as a conceptual volume element that has mass and is sufficiently small to have point location. A body is defined as a system of particles. To develop the mechanics of a body, these definitions are applied to each of its particles and their influences summed. See Acceleration

The law of motion is that, in a newtonian frame of reference (with few exceptions, a frame of reference fixed with respect to Earth is considered to be newtonian), a particle of mass m acted on by resultant force F has acceleration a in accordance with the equation F = km a . Therein, k is a positive constant whose value depends upon the units in which F , m, and a are measured. The action-reaction law states that when one particle exerts force on another, the other particle exerts on the one a collinear force equal in magnitude but oppositely directed.

A body acted upon by force is in equilibrium when its constituent particles are in equilibrium. The forces exerted on its particles (and therefore on the body) are either internal or external to the body. An internal force is one exerted by one particle on another in the same body. An external force is one exerted on a particle or the body by a particle not of the body. See Dynamics, Kinetics (classical mechanics), Statics

References in periodicals archive ?
Equilibrium of forces and bending moments must be valid in any cross-section subjected to bending moment M and axial force N:
Equation (19) describes equilibrium of forces in the direction perpendicular to the cross-section plane; equation (20) is the equilibrium of bending moments in respect to neutral axis; equations (21) relates stresses and curvature in various zones of the cross-section height (according to the hypothesis of plane sections); equations (22) relates geometrical parameters of the cross-section height (Fig.
Based on conditions for equilibrium of forces and moments values for the reaction in mounting were established, and are as follows: [R.sub.y] = F; [R.sub.x] = 0; [M.sub.F] = FL.
Pernicious habits if prolonged can change the equilibrium of forces among the lips, cheeks, and tongue.
The fundamental feature of limit equilibrium method is only considering the static equilibrium condition and Mohr-Coulomb criterion; that is, the solution to the problem is the analysis of the equilibrium of forces at the moment of the failure of soil mass.
It would be extremely difficult for President Hadi to sack Ahmed and Mohsen who constituted an equilibrium of forces during the crisis.
Reiki therapy, a concept of transferring energy to bring equilibrium of forces and to regain body balance and relaxation, is used to calm the students' nerves.
The Brevini gearboxes used were designed specifically for arduous, continuous applications such as this, the planetary design having inherent advantages over conventional helical gearbox designs because there is an equilibrium of forces on individual gears so the planet carrier is in charge of transmitting torque only.
The associated brake torque and time were then calculated from the static equilibrium of forces in the system.
The essence of material matter is a basic equilibrium of forces that allows for all structurations by additional forces.
Deterrence based on an equilibrium of forces has never been considered by the Holy See as a final goal but only as one stage in the process of gradual disarmament.
The main goal of investigation--proposition for ZI method the third general mathematic equation for static equilibrium of forces and bending moments acting in the cross-section making it possible to calculate according to a unified method location of the neutral axis for a flexural member of any cross-section, made of any material, with various reinforcement and for any stage of loading--from beginning of loading up to member failure.

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