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Mechanics



 
 
Mechanics (Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
 ) is the branch of physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
 concerned with the behaviour of physical bodies
Physical body

In physics, a physical body is a collection of masses, taken to be one. For example, a cricket ball can be considered an object but the ball also consists of many particles ....
 when subjected to force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
s or displacements
Displacement (vector)

In physics, displacement is the vector that specifies the change in position of a point or a particle in reference to a previous position. When the previous point is the origin, this is better referred to as a position vector....
, and the subsequent effect of the bodies on their environment. The discipline has its roots in several ancient civilizations (see History of classical mechanics
History of classical mechanics

Early Ideas on MotionThe Greek philosophy, and Aristotle in particular, were the first to propose that there are abstract principles governing nature....
 and Timeline of classical mechanics
Timeline of classical mechanics

Timeline of classical mechanics:...
). During the early modern period
Early modern period

The early modern period is a term used by historians to refer to the period roughly between 1500 to 1800 in Western Europe . It follows the Late Middle Ages period, and is marked by the first European colony, the rise of strong centralized governments, and the beginnings of recognizable nation states that are the direct antecedents of today'...
, scientists such as Galileo, Kepler
Johannes Kepler

Johannes Kepler was a Germans mathematician, astronomer and astrologer, and key figure in the 17th century Scientific revolution. He is best known for his eponymous Kepler's laws of planetary motion, codified by later astronomers based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astrononomy....
, and especially Newton
Isaac Newton

Sir Isaac Newton, Fellow of the Royal Society was an English people physicist, mathematician, Astronomy, Natural philosophy, Alchemy, and Theology and one of the the 100 in human history....
, laid the foundation for what is now known as classical mechanics
Classical mechanics

Classical mechanics is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies....
.

major division of the mechanics discipline separates classical mechanics
Classical mechanics

Classical mechanics is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies....
 from quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
.

Historically, classical mechanics came first, while quantum mechanics is a comparatively recent invention.






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Mechanics (Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
 ) is the branch of physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
 concerned with the behaviour of physical bodies
Physical body

In physics, a physical body is a collection of masses, taken to be one. For example, a cricket ball can be considered an object but the ball also consists of many particles ....
 when subjected to force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
s or displacements
Displacement (vector)

In physics, displacement is the vector that specifies the change in position of a point or a particle in reference to a previous position. When the previous point is the origin, this is better referred to as a position vector....
, and the subsequent effect of the bodies on their environment. The discipline has its roots in several ancient civilizations (see History of classical mechanics
History of classical mechanics

Early Ideas on MotionThe Greek philosophy, and Aristotle in particular, were the first to propose that there are abstract principles governing nature....
 and Timeline of classical mechanics
Timeline of classical mechanics

Timeline of classical mechanics:...
). During the early modern period
Early modern period

The early modern period is a term used by historians to refer to the period roughly between 1500 to 1800 in Western Europe . It follows the Late Middle Ages period, and is marked by the first European colony, the rise of strong centralized governments, and the beginnings of recognizable nation states that are the direct antecedents of today'...
, scientists such as Galileo, Kepler
Johannes Kepler

Johannes Kepler was a Germans mathematician, astronomer and astrologer, and key figure in the 17th century Scientific revolution. He is best known for his eponymous Kepler's laws of planetary motion, codified by later astronomers based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astrononomy....
, and especially Newton
Isaac Newton

Sir Isaac Newton, Fellow of the Royal Society was an English people physicist, mathematician, Astronomy, Natural philosophy, Alchemy, and Theology and one of the the 100 in human history....
, laid the foundation for what is now known as classical mechanics
Classical mechanics

Classical mechanics is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies....
.

Classical versus quantum

The major division of the mechanics discipline separates classical mechanics
Classical mechanics

Classical mechanics is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies....
 from quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
.

Historically, classical mechanics came first, while quantum mechanics is a comparatively recent invention. Classical mechanics originated with Isaac Newton
Isaac Newton

Sir Isaac Newton, Fellow of the Royal Society was an English people physicist, mathematician, Astronomy, Natural philosophy, Alchemy, and Theology and one of the the 100 in human history....
's Laws of motion
Laws of motion

In physics, a number of noted theories of the motion of objects have developed. Among the best-known are:* Newton's laws of motion* Kepler's laws of planetary motion ...
 in Principia Mathematica
Principia Mathematica

The Principia Mathematica is a 3-volume work on the foundations of mathematics, written by Alfred North Whitehead and Bertrand Russell and published in 1910?1913....
, while quantum mechanics didn't appear until 1900. Both are commonly held to constitute the most certain knowledge that exists about physical nature. Classical mechanics has especially often been viewed as a model for other so-called exact science
Exact science

The term exact science refers to fields of science that are capable of accurate quantitative expression or precise predictions and rigour methods of testing hypothesis, especially reproducible experiments involving quantifiable predictions and measurements....
s. Essential in this respect is the relentless use of mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
 in theories, as well as the decisive role played by experiment
Experiment

In scientific inquiry, an experiment is a method of investigating causal relationships among variables. An experiment is a cornerstone of the empiricism approach to acquiring data about the world and is used in both natural sciences and social sciences....
 in generating and testing them.

Quantum
Quantum

In physics, a quantum is an indivisible entity of a quantity that has the same units as the Planck constant and is related to both energy and momentum of elementary particles of matter and of photons and other bosons....
 mechanics is of a wider scope, as it encompasses classical mechanics as a sub-discipline which applies under certain restricted circumstances. According to the correspondence principle
Correspondence principle

In physics, the correspondence principle is a quantitative tool, applied in the old quantum theory as well as in Quantum mechanics, according to Jammer explicitly formulated by Niels Bohr for the first time in 1920, but used by him already in 1913 when developing the Bohr model of an atom....
, there is no contradiction or conflict between the two subjects, each simply pertains to specific situations. Quantum mechanics has superseded classical mechanics at the foundational level and is indispensable for the explanation and prediction of processes at molecular and (sub)atomic level. However, for macroscopical processes classical mechanics is able to solve problems which are unmanageably difficult in quantum mechanics and hence remains useful and well used.

Einsteinian versus Newtonian

Analogous to the quantum versus classical reformation, Einstein's general
General relativity

General relativity or the general theory of relativity is the Geometry Theoretical physics of gravitation published by Albert Einstein in 1916....
 and special
Special relativity

Special relativity is the physical theory of measurement in inertial frames of reference proposed in 1905 by Albert Einstein in the paper "Annus Mirabilis Papers#Special relativity"....
 theories of relativity
Theory of relativity

File:spacetime curvature.pngThe theory of relativity, or simply relativity, generally refers specifically to two theories of Albert Einstein: special relativity and general relativity....
 have expanded the scope of mechanics beyond the mechanics of Newton
Newton

The newton is the International System of Units SI derived unit of force, named after Isaac Newton in recognition of his work on classical mechanics....
 and Galileo, and made fundamental corrections to them, that become significant and even dominant as speeds of material objects approach the speed of light
Speed of light

The speed of light in an free space is an important physical constant usually written as c, with a value of 299,792,458 metres per second....
, which cannot be exceeded. Relativistic corrections are also needed for quantum mechanics, although General relativity has not been integrated; the two theories remain incompatible, a hurdle which must be overcome in developing the Grand Unified Theory.

Types of mechanical bodies

Thus the often-used term body
Physical body

In physics, a physical body is a collection of masses, taken to be one. For example, a cricket ball can be considered an object but the ball also consists of many particles ....
 needs to stand for a wide assortment of objects, including particles, projectiles, spacecraft
Spacecraft

A spacecraft is a Craft or machine designed for spaceflight. On a sub-orbital spaceflight, a spacecraft enters outer space then returns to the Earth....
, stars
STARS

STARS can mean:*Fulton surface-to-air recovery system*Shock Trauma Air Rescue Society*STARS members in Resident Evil, a fictional task force that appears in Capcom's Resident Evil video game franchise....
, parts of machinery
Mechanical engineering

Mechanical Engineering is an engineering discipline that involves the application of physics#branches of physics for analysis, design, manufacturing, and maintenance of machine....
, parts of solids, parts of fluids (gases and liquids), etc.

Other distinctions between the various sub-disciplines of mechanics, concern the nature of the bodies being described. Particles are bodies with little (known) internal structure, treated as mathematical points in classical mechanics. Rigid bodies have size and shape, but retain a simplicity close to that of the particle, adding just a few so-called degrees of freedom
Degrees of freedom (physics and chemistry)

Degrees of freedom is a general term used in explaining dependence on parameters, and implying the possibility of counting the number of those parameters....
, such as orientation in space.

Otherwise, bodies may be semi-rigid, i.e. elastic
Elasticity (physics)

In physics, elasticity is the physical property of a material when it deforms under stress , but returns to its original shape when the stress is removed....
, or non-rigid, i.e. fluid
Fluid

A fluid is defined as a substance that continually deforms under an applied shear stress. All liquids and all gases are fluids. Fluids are a subset of the Phase and include liquids, gas, Plasma physics and, to some extent, plasticity ....
. These subjects have both classical and quantum divisions of study.

For instance, the motion of a spacecraft, regarding its orbit
ORBit

ORBit is a Common Object Request Broker Architecture 2.4 compliant Object Request Broker . It features mature C , C++ and Python bindings, and less developed bindings for Perl, Lisp , Pascal , Ruby , and Tcl....
 and attitude
Attitude

Attitude may refer to:...
 (rotation
Rotation

A rotation is a movement of an object in a circular motion. A two-dimensional object rotates around a center of rotation. A Three-dimensional space object rotates around a line called an axis....
), is described by the relativistic theory of classical mechanics, while the analogous movements of an atomic nucleus
Atomic nucleus

The nucleus of an atom is the very dense region, consisting of nucleons , at the center of an atom. Although the size of the nucleus varies considerably according to the mass of the atom, the size of the entire atom is comparatively constant....
 are described by quantum mechanics.

Sub-disciplines in mechanics

The following are two lists of various subjects that are studied in mechanics.

Note that there is also the "theory of fields
Field theory (physics)

There are two types of field theory in physics:*Classical field theory, the theory and dynamics of classical fields.*Quantum field theory, the theory of Quantum mechanics fields....
" which constitutes a separate discipline in physics, formally treated as distinct from mechanics, whether classical fields
Classical electromagnetism

Classical electromagnetism is a theory of electromagnetism that was developed over the course of the 19th century, most prominently by James Clerk Maxwell....
 or quantum fields
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
. But in actual practice, subjects belonging to mechanics and fields are closely interwoven. Thus, for instance, forces that act on particles are frequently derived from fields (electromagnetic
Electromagnetic

Electromagnetic may refer to:* Electromagnetic radiation* Electromagnetism...
 or gravitational), and particles generate fields by acting as sources. In fact, in quantum mechanics, particles themselves are fields, as described theoretically by the wave function.

Classical mechanics

The following are described as forming Classical mechanics:
  • Newtonian mechanics, the original theory of motion (kinematics
    Kinematics

    Kinematics is a branch of classical mechanics which describes the motion of objects without consideration of the causes leading to the motion....
    ) and forces (dynamics
    Dynamics (mechanics)

    In physics the term dynamics customarily refers to the time evolution of physical processes. These processes may be microscopic as in particle physics, kinetic theory, and chemical reactions, or macroscopic as in the predictions of statistical mechanics and nonequilibrium thermodynamics....
    )
  • Hamiltonian mechanics
    Hamiltonian mechanics

    Hamiltonian mechanics is a reformulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. It arose from Lagrangian mechanics, a previous reformulation of classical mechanics introduced by Joseph Louis Lagrange in 1788, but can be formulated without recourse to Lagrangian mechanics using sym...
    , a theoretical formalism
    Formalism

    The term formalism describes an emphasis on form over content or meaning in the arts, literature, or philosophy. A practitioner of formalism is called a formalist....
    , based on the principle of conservation of energy
  • Lagrangian mechanics
    Lagrangian mechanics

    Lagrangian mechanics is a re-formulation of classical mechanics that combines conservation of momentum with conservation of energy. It was introduced by Italy mathematician Lagrange in 1788....
    , another theoretical formalism, based on the principle of the least action
  • Celestial mechanics
    Celestial mechanics

    Celestial mechanics is the branch of astronomy that deals with the motion s of celestial objects. The field applies principles of physics, historically classical mechanics, to astronomical objects such as stars and planets to produce ephemeris data....
    , the motion of heavenly bodies: planets, comets, stars, galaxies, etc.
  • Astrodynamics
    Astrodynamics

    Orbital mechanics or astrodynamics is the application of celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft....
    , spacecraft navigation
    Navigation

    Navigation is the process of reading, and controlling the movement of a craft or vehicle from one place to another. It is also the term of art used for the specialized knowledge used by navigators to perform navigation tasks....
    , etc.
  • Solid mechanics
    Solid mechanics

    Solid mechanics is the branch of mechanics, physics, and mathematics that concerns the behavior of solid matter under external actions . It is part of a broader study known as continuum mechanics....
    , elasticity
    Elasticity (physics)

    In physics, elasticity is the physical property of a material when it deforms under stress , but returns to its original shape when the stress is removed....
    , the properties of (semi-)rigid bodies
  • Acoustics
    Acoustics

    Acoustics is the interdisciplinary science that deals with the study of sound, ultrasound and infrasound . A scientist who works in the field of acoustics is an acoustician....
    , sound
    Sound

    Sound is vibration transmitted through a solid, liquid, or gas, composed of frequencies within the range of hearing and of a threshold of hearing to be heard, or the sensation stimulated in organs of hearing by such vibrations....
     ( = density variation propagation) in solids, fluids and gases.
  • Statics
    Statics

    Statics is the branch of mechanics concerned with the analysis of loads on physical systems in static equilibrium, that is, in a state where the relative positions of subsystems do not vary over time, or where components and structures are at a constant velocity....
    , semi-rigid bodies in mechanical equilibrium
    Mechanical equilibrium

    A standard definition of is:This is a strict definition, and often the term "static equilibrium" is used in a more relaxed manner interchangeably with "mechanical equilibrium", as defined next....
  • Fluid mechanics
    Fluid mechanics

    Fluid mechanics is the study of how fluids move and the forces on them. Fluid mechanics can be divided into fluid statics, the study of fluids at rest, and fluid dynamics, the study of fluids in motion....
    , the motion of fluids
  • Soil mechanics
    Soil mechanics

    Soil mechanics is a discipline that applies principles of engineering mechanics, e.g. kinematics, dynamics, fluid mechanics, and mechanics of material, to predict the mechanical behavior of soils....
    , mechanical behavior of soils
  • Continuum mechanics
    Continuum mechanics

    Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and mechanical behavior of materials modeled as a continuum, e.g., solids and fluids ....
    , mechanics of continua (both solid and fluid)
  • Hydraulics
    Hydraulics

    Hydraulics is a topic of science and engineering dealing with the mechanical properties of liquids. Hydraulics is part of the more general discipline of fluid power....
    , mechanical properties of liquids
  • Fluid statics
    Fluid statics

    Fluid statics is the science of fluids at rest, and is a sub-field within fluid mechanics. The term usually refers to the mathematical treatment of the subject....
    , liquids in equilibrium
  • Applied mechanics, or Engineering mechanics
    Applied mechanics

    Applied mechanics is a branch of the physical sciences and the practical application of mechanics. Applied mechanics examines the response of bodies or systems of bodies to external forces....
  • Biomechanics
    Biomechanics

    Biomechanics is the application of mechanical principles to living organisms. This includes bioengineering, the research and analysis of the mechanics of living organisms and the application of engineering principles to and from biological systems....
    , solids, fluids, etc. in biology
  • Biophysics
    Biophysics

    Biophysics is an interdisciplinary science that employs and develops theories and methods of the physical sciences for the investigation of biology systems....
    , physical processes in living organisms
  • Statistical mechanics
    Statistical mechanics

    Statistical mechanics is the application of probability theory, which includes Mathematics tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force....
    , assemblies of particles too large to be described in a deterministic way
  • Relativistic or Einsteinian
    Albert Einstein

    Albert Einstein was a Germany-born theoretical physics. He is best known for his theory of relativity and specifically mass?energy equivalence, expressed by the equation E = mc2....
     mechanics, universal gravitation
    Gravitation

    Gravitation is a natural phenomenon that gives weight to objects. In everyday life, attraction due to gravity is the result of the presence of relatively large bodies, such as the Earth and the Moon....


Quantum mechanics

The following are categorized as being part of Quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
:
  • Particle physics
    Particle physics

    Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
    , the motion, structure, and reactions of particles
  • Nuclear physics
    Nuclear physics

    Nuclear physics is the field of physics that studies the building blocks and interactions of atomic nuclei.The most commonly known applications of nuclear physics are nuclear power and nuclear weapons, but the research field is also the basis for a far wider range of applications, including in the medical sector , in materials engineering...
    , the motion, structure, and reactions of nuclei
  • Condensed matter physics
    Condensed matter physics

    Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter. In particular, it is concerned with the "condensed" phase that appear whenever the number of constituents in a system is extremely large and the interactions between the constituents are strong....
    , quantum gases, solids, liquids, etc.
  • Quantum statistical mechanics
    Quantum statistical mechanics

    Quantum statistical mechanics is the study of statistical ensembles of quantum mechanics. A statistical ensemble is described by a density matrix S, which is a non-negative, self-adjoint, trace-class operator of trace 1 on the Hilbert space H describing the quantum system....
    , large assemblies of particles


Professional organizations

  • Applied Mechanics Division
    Applied Mechanics Division

    The Applied Mechanics Division is a division in the American Society of Mechanical Engineers . The AMD was founded in 1927, with Stephen Timoshenko being the first chair....
    , American Society of Mechanical Engineers
    American Society of Mechanical Engineers

    The American Society of Mechanical Engineers is a professional body, specifically an engineering society, focused on mechanical engineering.The ASME was founded in 1880 by Alexander Lyman Holley, Henry Rossiter Worthington, John Edison Sweet and Matthias N....
  • Fluid Dynamics Division, American Physical Society
    American Physical Society

    The American Physical Society was founded in 1899 and is the world's second largest organization of physicists, behind the Deutsche Physikalische Gesellschaft....
  • is the United Kingdom's qualifying body for Mechanical Engineers and has been the home of Mechanical Engineers for over 150 years.


See also

  • Analytical mechanics
    Analytical mechanics

    Analytical mechanics is a term used for a refined, highly mathematical form of classical mechanics, constructed from the eighteenth century onwards as a formulation of the subject as founded by Isaac Newton....
  • Applied mechanics
    Applied mechanics

    Applied mechanics is a branch of the physical sciences and the practical application of mechanics. Applied mechanics examines the response of bodies or systems of bodies to external forces....
  • Dynamics
    Dynamics

    Dynamics may refer to:In Physics:*Dynamics , in physics, dynamics refers to time evolution of physical processes*Analytical dynamics refers to the motion of bodies as induced by external forces...
  • Engineering
    Engineering

    Engineering is the discipline and profession of applying Technology and science knowledge and utilizing natural laws and physical resources in order to design and implement materials, structures, machines, devices, systems, and process that safely realize a desired objective and meet specified criteria....
  • Kinematics
    Kinematics

    Kinematics is a branch of classical mechanics which describes the motion of objects without consideration of the causes leading to the motion....
  • Kinetics
    Kinetics

    Kinetics, derived from the Greek language word ????s?? meaning movement or the act of moving, may refer to:...


External links

  • from the University of New South Wales