Patrick 08:54 (UTC) For mass that is distributed according to a continuous, nonnegative density ρ ( x ) ≥ 0. Other than that, it looks like a good article. This can be viewed as one object without loss of generality (think of the matter connecting them approaching zero mass in the limit The center of mass is outside of the sun, so a plane perpendicular to the line between the objects would certainly not divide the mass of the object in half! I think I will wait for some comment and then remove the sentence from the article. Later on in the page, the Jupiter-sun system is mentioned. "The centre of mass of an object is the point through which any plane divides the mass of the object in half."Īre you sure this is true? If the center of mass is a weighted sum of all the points in an object, and the distance is part of the weighting, then the plane would not divide the mass in half, but the mass times distance.
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For two masses this distance is calculated fromįor the more general collection of N particles this becomes The center of mass is the point at which all the mass can be considered to be "concentrated" for the purpose of calculating the "first moment", i.e., mass times distance. HyperPhysics***** Mechanics ***** Rotation The center of mass lies on the line connecting the two masses.ĭetermining center of mass of extended object If you are making measurements from the center of mass point for a two-mass system then the center of mass condition can be expressed as where r 1 and r 2 locate the masses. In one plane, that is like the balancing of a seesaw about a pivot point with respect to the torques produced. The concept of the center of mass is that of an average of the masses factored by their distances from a reference point. The terms "center of mass" and "center of gravity" are used synonymously in a uniform gravity field to represent the unique point in an object or system which can be used to describe the system's response to external forces and torques.