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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. [1]

85 relations: Aircraft, Alexis Clairaut, Angular momentum, Archimedes, Automobile handling, Barycenter, Buoyancy, Center of mass (relativistic), Center of percussion, Center of pressure (fluid mechanics), Center of pressure (terrestrial locomotion), Center-of-momentum frame, Centers of gravity in non-uniform fields, Centroid, Circumcenter of mass, Classical Mechanics (Goldstein book), Cluster analysis, Density, Displacement (ship), Earth, Elevator (aeronautics), Expected value, Federico Commandino, Force, Fosbury Flop, Francesco Maurolico, Gravitational energy, Gravity, Guidobaldo del Monte, Helicopter, Helicopter flight controls, High jump, Horseshoe, Humvee, Inertial frame of reference, Jean-Charles della Faille, John Wallis, Lever, Louis Carré (mathematician), Luca Valerio, Mass, Mass point geometry, Mechanical equilibrium, Mechanics, Metacentric height, Molecular dynamics, Momentum, Natural satellite, Newton's laws of motion, Orbit, ... Expand index (35 more) »

## Aircraft

An aircraft is a machine that is able to fly by gaining support from the air.

## Alexis Clairaut

Alexis Claude Clairaut (13 May 1713 – 17 May 1765) was a French mathematician, astronomer, and geophysicist.

## Angular momentum

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

## Archimedes

Archimedes of Syracuse (Ἀρχιμήδης) was a Greek mathematician, physicist, engineer, inventor, and astronomer.

## Automobile handling

Automobile handling and vehicle handling are descriptions of the way a wheeled vehicle responds and reacts to the inputs of a driver, as well as how it moves along a track or road.

## Barycenter

The barycenter (or barycentre; from the Ancient Greek βαρύς heavy + κέντρον centre) is the center of mass of two or more bodies that are orbiting each other, which is the point around which they both orbit.

## Buoyancy

In physics, buoyancy or upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object.

## Center of mass (relativistic)

In physics, relativistic center of mass refers to the mathematical and physical concepts that define the center of mass of a system of particles in relativistic mechanics and relativistic quantum mechanics.

## Center of percussion

The Center of Percussion is the point on an extended massive object attached to a pivot where a perpendicular impact will produce no reactive shock at the pivot.

## Center of pressure (fluid mechanics)

The center of pressure is the point where the total sum of a pressure field acts on a body, causing a force to act through that point.

## Center of pressure (terrestrial locomotion)

In biomechanics, center of pressure (CoP) is the term given to the point of application of the ground reaction force vector.

## Center-of-momentum frame

In physics, the center-of-momentum frame (also zero-momentum frame or COM frame) of a system is the unique (up to velocity but not origin) inertial frame in which the total momentum of the system vanishes.

## Centers of gravity in non-uniform fields

In physics, a center of gravity of a material body is a point that may be used for a summary description of gravitational interactions.

## Centroid

In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean position of all the points in the shape.

## Circumcenter of mass

In geometry, the circumcenter of mass is a center associated with a polygon which shares many of the properties of the center of mass.

## Classical Mechanics (Goldstein book)

Classical Mechanics is a textbook about the subject of that name written by Herbert Goldstein.

## Cluster analysis

Cluster analysis or clustering is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).

## Density

The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume.

## Displacement (ship)

The displacement or displacement tonnage of a ship is its weight, expressed in long tons of water its hull displaces.

## Earth

Earth is the third planet from the Sun and the only astronomical object known to harbor life.

## Elevator (aeronautics)

Elevators are flight control surfaces, usually at the rear of an aircraft, which control the aircraft's pitch, and therefore the angle of attack and the lift of the wing.

## Expected value

In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents.

## Federico Commandino

Federico Commandino (1509 – 5 September 1575) was an Italian humanist and mathematician.

## Force

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

## Fosbury Flop

The Fosbury Flop is a style used in the athletics event of high jump.

## Francesco Maurolico

Francesco Maurolico (Greek: Φραγκίσκος Μαυρόλυκος, Frangiskos Mavrolikos; Latin: Franciscus Maurolycus; Francisci Maurolyci; Italian: Francesco Maurolico; 16 September 1494 - 21/22 July 1575) was a mathematician and astronomer from Sicily.

## Gravitational energy

Gravitational energy is the potential energy a body with mass has in relation to another massive object due to gravity.

## Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

## Guidobaldo del Monte

Guidobaldo del Monte (11 January 1545 &ndash; 6 January 1607, var. Guidobaldi or Guido Baldi), Marquis del Monte, was an Italian mathematician, philosopher and astronomer of the 16th century.

## Helicopter

A helicopter is a type of rotorcraft in which lift and thrust are supplied by rotors.

## Helicopter flight controls

A helicopter pilot manipulates the helicopter flight controls to achieve and maintain controlled aerodynamic flight.

## High jump

The high jump is a track and field event in which competitors must jump unaided over a horizontal bar placed at measured heights without dislodging it.

## Horseshoe

A horseshoe is a fabricated product, normally made of metal, although sometimes made partially or wholly of modern synthetic materials, designed to protect a horse's hoof from wear.

## Humvee

The High Mobility Multipurpose Wheeled Vehicle (HMMWV; colloquial: Humvee) is a family of light, four-wheel drive, military trucks and utility vehicles produced by AM General.

## Inertial frame of reference

An inertial frame of reference in classical physics and special relativity is a frame of reference in which a body with zero net force acting upon it is not accelerating; that is, such a body is at rest or it is moving at a constant speed in a straight line.

## Jean-Charles della Faille

Jean-Charles della Faille (or Jan-Karel della Faille), born in Antwerp (Belgium), 1 March 1597 and died in Barcelona (Spain), 4 November 1652, was a Flemish Jesuit priest from Brabant, and a mathematician of repute.

## John Wallis

John Wallis (3 December 1616 – 8 November 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus.

## Lever

A lever is a simple machine consisting of a beam or rigid rod pivoted at a fixed hinge, or fulcrum.

## Louis Carré (mathematician)

Louis Carré (26 July 1663 – 17 April 1711) was a French mathematician and member of the French Academy of Sciences.

## Luca Valerio

Luca Valerio (1553–1618) was an Italian mathematician.

## 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.

## Mass point geometry

Mass point geometry, colloquially known as mass points, is a geometry problem-solving technique which applies the physical principle of the center of mass to geometry problems involving triangles and intersecting cevians.

## Mechanical equilibrium

In classical mechanics, a particle is in mechanical equilibrium if the net force on that particle is zero.

## 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.

## Metacentric height

The metacentric height (GM) is a measurement of the initial static stability of a floating body.

## Molecular dynamics

Molecular dynamics (MD) is a computer simulation method for studying the physical movements of atoms and molecules.

## Momentum

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

## Natural satellite

A natural satellite or moon is, in the most common usage, an astronomical body that orbits a planet or minor planet (or sometimes another small Solar System body).

## Newton's laws of motion

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

## Orbit

In physics, an orbit is the gravitationally curved trajectory of an object, such as the trajectory of a planet around a star or a natural satellite around a planet.

## Orbital mechanics

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

## Pappus of Alexandria

Pappus of Alexandria (Πάππος ὁ Ἀλεξανδρεύς; c. 290 &ndash; c. 350 AD) was one of the last great Greek mathematicians of Antiquity, known for his Synagoge (Συναγωγή) or Collection (c. 340), and for Pappus's hexagon theorem in projective geometry.

## Parallel axis theorem

The parallel axis theorem, also known as Huygens&ndash;Steiner theorem, or just as Steiner's theorem, after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular distance between the axes.

## Paul Guldin

Paul Guldin (original name Habakkuk Guldin; 12 June 1577 (Mels) – 3 November 1643 (Graz)) was a Swiss Jesuit mathematician and astronomer.

## Periodic boundary conditions

Periodic boundary conditions (PBCs) are a set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell.

## Physical law

A physical law or scientific law is a theoretical statement "inferred from particular facts, applicable to a defined group or class of phenomena, and expressible by the statement that a particular phenomenon always occurs if certain conditions be present." Physical laws are typically conclusions based on repeated scientific experiments and observations over many years and which have become accepted universally within the scientific community.

## 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.

## Pierre Varignon

Pierre Varignon (1654 – 23 December 1722) was a French mathematician.

## Planet

A planet is an astronomical body orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals.

## Planimeter

A planimeter, also known as a platometer, is a measuring instrument used to determine the area of an arbitrary two-dimensional shape.

## Plumb bob

A plumb bob, or plummet, is a weight, usually with a pointed tip on the bottom, suspended from a string and used as a vertical reference line, or plumb-line.

## Point particle

A point particle (ideal particle or point-like particle, often spelled pointlike particle) is an idealization of particles heavily used in physics.

## Position (vector)

In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight-line from O to P. The term "position vector" is used mostly in the fields of differential geometry, mechanics and occasionally vector calculus.

## 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.

## Relative velocity

The relative velocity \vec_ (also \vec_ or \vec_) is the velocity of an object or observer B in the rest frame of another object or observer A.

## Resultant force

A resultant force is the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body.

## Rigid body

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

## Rigid body dynamics

Rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces.

## Roll center

The roll center of a vehicle is the notional point at which the cornering forces in the suspension are reacted to the vehicle body.

## Rollover

A rollover is a type of vehicle crash in which a vehicle tips over onto its side or roof.

## Rotation around a fixed axis

Rotation around a fixed axis or about a fixed axis of revolution or motion with respect to a fixed axis of rotation is a special case of rotational motion.

In helicopters the rotorhead is the part of the rotor assembly that joins the blades to the shaft, cyclic and collective mechanisms.

## Simon Stevin

Simon Stevin (1548–1620), sometimes called Stevinus, was a Flemish mathematician, physicist and military engineer.

## Solar System

The Solar SystemCapitalization of the name varies.

## Sports car

A sports car, or sportscar, is a small, usually two-seater, two-door automobile designed for spirited performance and nimble handling.

## Stall (fluid mechanics)

In fluid dynamics, a stall is a reduction in the lift coefficient generated by a foil as angle of attack increases.

## Star

A star is type of astronomical object consisting of a luminous spheroid of plasma held together by its own gravity.

## Summation

In mathematics, summation (capital Greek sigma symbol: ∑) is the addition of a sequence of numbers; the result is their sum or total.

## Sun

The Sun is the star at the center of the Solar System.

## The Feynman Lectures on Physics

The Feynman Lectures on Physics is a physics textbook based on some lectures by Richard P. Feynman, a Nobel laureate who has sometimes been called "The Great Explainer".

## Torque

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

## Understanding Physics

Understanding Physics (1966) is a popular science book written by Isaac Asimov (1920-1992).

## United States Government Publishing Office

The United States Government Publishing Office (GPO) (formerly the Government Printing Office) is an agency of the legislative branch of the United States federal government.

## Weight distribution

Weight distribution is the apportioning of weight within a vehicle, especially cars, airplanes, and trains.

## Weight function

A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set.

## References

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