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List of equations in classical mechanics

Index List of equations in classical mechanics

Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1]

72 relations: Acceleration, Acoustics, Action (physics), Analytical mechanics, Angular acceleration, Angular momentum, Angular velocity, Calculus, Canonical coordinates, Center of mass, Central force, Centripetal force, Classical mechanics, Classical Mechanics (Kibble and Berkshire book), Concurrent lines, Conservative force, Constitutive equation, Coriolis force, Defining equation (physical chemistry), Defining equation (physics), Differential equation, Elastic energy, Electromagnetism, Equation, Ergodic theory, Euclidean space, Euler's laws of motion, Force, Generalized coordinates, Hamiltonian mechanics, Hooke's law, Impulse (physics), Isaac Newton, Jerk (physics), Jounce, Kinetic energy, Lagrangian mechanics, Leonhard Euler, Lie group, List of electromagnetism equations, List of equations in fluid mechanics, List of equations in gravitation, List of equations in nuclear and particle physics, List of equations in quantum mechanics, List of equations in wave theory, List of photonics equations, List of relativistic equations, Lists of physics equations, Macroscopic scale, Manifold, ..., Mass, Mathematics, Mechanics, Moment of inertia, Momentum, Newton's laws of motion, Optics, Physics, Potential energy, Power (physics), Pseudovector, Rigid body, Rotatum, Tensor, Tensor contraction, Thermodynamics, Three-dimensional space, Top, Torque, Unit vector, Velocity, Work (physics). Expand index (22 more) »

Acceleration

In physics, acceleration is the rate of change of velocity of an object with respect to time.

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Acoustics

Acoustics is the branch of physics that deals with the study of all mechanical waves in gases, liquids, and solids including topics such as vibration, sound, ultrasound and infrasound.

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Action (physics)

In physics, action is an attribute of the dynamics of a physical system from which the equations of motion of the system can be derived.

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Analytical mechanics

In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics.

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Angular acceleration

Angular acceleration is the rate of change of angular velocity.

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Angular momentum

In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.

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Angular velocity

In physics, the angular velocity of a particle is the rate at which it rotates around a chosen center point: that is, the time rate of change of its angular displacement relative to the origin.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Canonical coordinates

In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time.

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Center of mass

In physics, the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero, or the point where if a force is applied it moves in the direction of the force without rotating.

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Central force

In classical mechanics, a central force on an object is a force that is directed along the line joining the object and the origin: where \scriptstyle \vec is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and \scriptstyle \hat.

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Centripetal force

A centripetal force (from Latin centrum, "center" and petere, "to seek") is a force that makes a body follow a curved path.

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Classical mechanics

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.

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Classical Mechanics (Kibble and Berkshire book)

Classical Mechanics (5th ed.) is a well-established textbook written by Thomas Walter Bannerman Kibble, FRS, (born 1932) and Frank Berkshire of the Imperial College Mathematics Department.

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Concurrent lines

In geometry, three or more lines in a plane or higher-dimensional space are said to be concurrent if they intersect at a single point.

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Conservative force

A conservative force is a force with the property that the total work done in moving a particle between two points is independent of the taken path.

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Constitutive equation

In physics and engineering, a constitutive equation or constitutive relation is a relation between two physical quantities (especially kinetic quantities as related to kinematic quantities) that is specific to a material or substance, and approximates the response of that material to external stimuli, usually as applied fields or forces.

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Coriolis force

In physics, the Coriolis force is an inertial force that acts on objects that are in motion relative to a rotating reference frame.

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Defining equation (physical chemistry)

In physical chemistry, there are numerous quantities associated with chemical compounds and reactions; notably in terms of amounts of substance, activity or concentration of a substance, and the rate of reaction.

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Defining equation (physics)

In physics, defining equations are equations that define new quantities in terms of base quantities.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Elastic energy

Elastic energy is the potential mechanical energy stored in the configuration of a material or physical system as work is performed to distort its volume or shape.

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Electromagnetism

Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

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Equation

In mathematics, an equation is a statement of an equality containing one or more variables.

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Ergodic theory

Ergodic theory (Greek: έργον ergon "work", όδος hodos "way") is a branch of mathematics that studies dynamical systems with an invariant measure and related problems.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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Euler's laws of motion

In classical mechanics, Euler's laws of motion are equations of motion which extend Newton's laws of motion for point particle to rigid body motion.

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Force

In physics, a force is any interaction that, when unopposed, will change the motion of an object.

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Generalized coordinates

In analytical mechanics, specifically the study of the rigid body dynamics of multibody systems, the term generalized coordinates refers to the parameters that describe the configuration of the system relative to some reference configuration.

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Hamiltonian mechanics

Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.

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Hooke's law

Hooke's law is a principle of physics that states that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance.

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Impulse (physics)

In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts.

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Isaac Newton

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.

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Jerk (physics)

In physics, jerk is the rate of change of acceleration; that is, the time derivative of acceleration, and as such the second derivative of velocity, or the third time derivative of position.

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Jounce

In physics, jounce, also known as snap, is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time.

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Kinetic energy

In physics, the kinetic energy of an object is the energy that it possesses due to its motion.

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Lagrangian mechanics

Lagrangian mechanics is a reformulation of classical mechanics, introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in 1788.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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List of electromagnetism equations

This article summarizes equations in the theory of electromagnetism.

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List of equations in fluid mechanics

This article summarizes equations in the theory of fluid mechanics.

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List of equations in gravitation

This article summarizes equations in the theory of gravitation.

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List of equations in nuclear and particle physics

This article summarizes equations in the theory of nuclear physics and particle physics.

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List of equations in quantum mechanics

This article summarizes equations in the theory of quantum mechanics.

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List of equations in wave theory

This article summarizes equations in the theory of waves.

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List of photonics equations

This article summarizes equations in the theory of photonics, including geometric optics, physical optics, radiometry, diffraction, and interferometry.

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List of relativistic equations

Following is a list of the frequently occurring equations in the theory of special relativity.

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Lists of physics equations

In physics, there are equations in every field to relate physical quantities to each other and perform calculations.

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Macroscopic scale

The macroscopic scale is the length scale on which objects or phenomena are large enough to be visible almost practically with the naked eye, without magnifying optical instruments.

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

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Mass

Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Mechanics

Mechanics (Greek μηχανική) is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment.

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Moment of inertia

The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration.

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Momentum

In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object.

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Newton's laws of motion

Newton's laws of motion are three physical laws that, together, laid the foundation for classical mechanics.

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Optics

Optics is the branch of physics which involves the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

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Potential energy

In physics, potential energy is the energy possessed by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

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Power (physics)

In physics, power is the rate of doing work, the amount of energy transferred per unit time.

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Pseudovector

In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation, but in three dimensions gains an additional sign flip under an improper rotation such as a reflection.

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Rigid body

In physics, a rigid body is a solid body in which deformation is zero or so small it can be neglected.

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Rotatum

In physics, rotatum is the derivative of torque with respect to time.

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Tensor

In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.

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Tensor contraction

In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the natural pairing of a finite-dimensional vector space and its dual.

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Thermodynamics

Thermodynamics is the branch of physics concerned with heat and temperature and their relation to energy and work.

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Three-dimensional space

Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).

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Top

A spinning top is a toy designed to spin rapidly on the ground, the motion of which causes it to remain precisely balanced on its tip because of its rotational inertia.

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Torque

Torque, moment, or moment of force is rotational force.

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Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

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Velocity

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

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Work (physics)

In physics, a force is said to do work if, when acting, there is a displacement of the point of application in the direction of the force.

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"Moment of Mass", Classical Mechanics/Equations, Linear-rotational analogs, Moment of mass.

References

[1] https://en.wikipedia.org/wiki/List_of_equations_in_classical_mechanics

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