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Center of mass

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In physics, the center of mass of a distribution of mass in space (sometimes referred to as the barycenter or balance point) is the unique point at any given time where the weighted relative position of the distributed mass sums to zero. For a rigid body containing its center of mass, this is the point to which a force may be applied to cause a linear acceleration without an angular acceleration. Calculations in mechanics are often simplified when formulated with respect to the center of mass.

Rigid bodyRigid bodyThe position of a rigid body is determined by the position of its center of mass and by its attitude (at least six parameters in total).In classical mechanics, a rigid body, also known as a rigid object, is a solidbody in which deformation is zero or negligible, when a deforming pressure or deforming force is applied on it. The distance between any two given points on a rigid body remains constant in time regardless of external forces or moments exerted on it.CentroidCentroidIn mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the meanposition of all the points in the figure. The same definition extends to any object in n{\displaystyle n}-dimensionalEuclidean space. In geometry, one often assumes uniform mass density, in which case the barycenter or center of mass coincides with the centroid.Position (geometry)Position (geometry)In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a pointP in space. Its length represents the distance in relation to an arbitrary reference originO, and its direction represents the angular orientation with respect to given reference axes.Newton's laws of motionNewton's laws of motionLaws in physics about force and motionNewton's laws of motion are three physical laws that describe the relationship between the motion of an object and the forces acting on it.DensityDensityDensity (volumetric mass density or specific mass) is the ratio of a substance's mass to its volume. The symbol most often used for density is ρ (the lower case Greek letter rho), although the Latin letter D (or d) can also be used: ρ=mV,{\displaystyle ho ={\frac {m}{V}},} where ρ is the density, m is the mass, and V is the volume.Angular accelerationAngular accelerationIn kinematics, angular acceleration (symbol α, alpha) is the time derivative of angular velocity. Following the two types of angular velocity, spin angular velocity and orbital angular velocity, the respective types of angular acceleration are: spin angular acceleration, involving a rigid body about an axis of rotation intersecting the body's centroid; and orbital angular acceleration, involving a point particle and an external axis.Physical objectPhysical objectIn natural language and physical science, a physical object or material object (or simply an object or body) is a collection of matter, usually contiguous, with a defined boundary, that exists in space and time. It is usually contrasted with abstract objects and mental objects. Also in common usage, an object is not constrained to consist of the same collection of matter. Atoms or parts of an object may change over time.SpaceSpaceSpace is a three-dimensional continuum containing positions and directions. In classical physics, physical space is often conceived in three lineardimensions. Modern physicists usually consider it, with time, to be part of a boundless four-dimensionalcontinuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe.MassMassAmount of matter present in an objectMass is an intrinsic physical quantity of a body which in modern physics is generally defined as the strength of an object's gravitational attraction to other bodies. The unit of mass in the International System of Units (SI) is the kilogram (kg). Mass can also be understood as a measure of the energy content of a body (see E=mc²).MechanicsMechanicsMechanics (from Ancient Greek (mēkhanikḗ)'of machines') is the area of physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects may result in displacements, which are changes of an object's position relative to its environment.AccelerationAccelerationIn physics, acceleration is a measure of how fast and in what direction an object's speed and direction of motion are changing. It is defined as the rate of change of the velocity. Like velocity, acceleration has a magnitude and a direction, making it a vector quantity. The SI unit for acceleration is metre per second squared (m⋅s, m/s).PhysicsPhysics is the scientific study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. It is one of the most fundamental scientific disciplines. A scientist who specializes in the field of physics is called a physicist. Physics is one of the oldest academic disciplines.hollowhollowRelated word or term.barycenterbarycenterRelated word or term.

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