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Consequently, the object is in a state of static mechanical equilibrium. In classical mechanics, a particle is in mechanical equilibrium if the net force on that particle is zero. [1]: 39 By extension, a physical system made up of many parts is in mechanical equilibrium if the net force on each of its individual parts is zero. [1]: 45–46 [2]
The static equilibrium of a particle is an important concept in statics. A particle is in equilibrium only if the resultant of all forces acting on the particle is equal to zero. In a rectangular coordinate system the equilibrium equations can be represented by three scalar equations, where the sums of forces in all three directions are equal ...
v x is velocity of particle before measurement, v′ x is velocity of particle after measurement, ħ is the reduced Planck constant. The measured momentum of the electron is then related to v x, whereas its momentum after the measurement is related to v′ x. This is a best-case scenario. [7]
The word equilibrium implies a state of balance. Equilibrium thermodynamics, in origins, derives from analysis of the Carnot cycle. Here, typically a system, as cylinder of gas, initially in its own state of internal thermodynamic equilibrium, is set out of balance via heat input from a combustion reaction. Then, through a series of steps, as ...
In physics, action is a scalar quantity that describes how the balance of kinetic versus potential energy of a physical system changes with trajectory. Action is significant because it is an input to the principle of stationary action, an approach to classical mechanics that is simpler for multiple objects. [1]
D'Alembert showed that one can transform an accelerating rigid body into an equivalent static system by adding the so-called "inertial force" and "inertial torque" or moment. The inertial force must act through the center of mass and the inertial torque can act anywhere.
Operationally, a system is in an equilibrium state if its properties are consistently described by thermodynamic theory!" [18] J.A. Beattie and I. Oppenheim write: "Insistence on a strict interpretation of the definition of equilibrium would rule out the application of thermodynamics to practically all states of real systems." [19]
Mechanical equilibrium, the state in which the sum of the forces, and torque, on each particle of the system is zero; Radiative equilibrium, the state where the energy radiated is balanced by the energy absorbed; Secular equilibrium, a state of radioactive elements in which the production rate of a daughter nucleus is balanced by its own decay rate