Center of mass

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  • Center of mass
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  • Centre of mass
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Abstract from DBPedia
    In physics, the center of mass of a distribution of mass in space (sometimes referred to as the balance point) is the unique point where the weighted relative position of the distributed mass sums to zero. 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. It is a hypothetical point where the entire mass of an object may be assumed to be concentrated to visualise its motion. In other words, the center of mass is the particle equivalent of a given object for application of Newton's laws of motion. In the case of a single rigid body, the center of mass is fixed in relation to the body, and if the body has uniform density, it will be located at the centroid. The center of mass may be located outside the physical body, as is sometimes the case for hollow or open-shaped objects, such as a horseshoe. In the case of a distribution of separate bodies, such as the planets of the Solar System, the center of mass may not correspond to the position of any individual member of the system. The center of mass is a useful reference point for calculations in mechanics that involve masses distributed in space, such as the linear and angular momentum of planetary bodies and rigid body dynamics. In orbital mechanics, the equations of motion of planets are formulated as point masses located at the centers of mass. The center of mass frame is an inertial frame in which the center of mass of a system is at rest with respect to the origin of the coordinate system.

    重心(じゅうしん、center of gravity)は、力学において、空間的広がりをもって質量が分布するような系において、その質量に対して他の物体から働く万有引力(重力)の合力の作用点であると定義される点のことである。 なお、質量中心(しつりょうちゅうしん、center of mass)としばしば混同されるが、重力が一様でない場合には一致しない場合があるため、厳密には異なるものである。当記事では、特に断りのない限り、重心と質量中心を同じものとして説明する。 一様重力下で、質量分布が一様である(または図形の頂点に等質量が凝集している)とき、重心は幾何学的な意味での「重心」(幾何学的中心)と一致する(より一般の状況における重心はの項を参照)。

    (Source: http://dbpedia.org/resource/Center_of_mass)