Rest of acceleration of the centre of mass system formula
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The center of mass velocity is the sum of each mass's momentum divided by the total mass of the system. The acceleration of the center of mass is the sum of all of the products of each mass and its acceleration divided by the total mass: Since Σ F = ma, we can subsititue each ma with is corresponding force, F
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The animation at right will hopefully convince you that the center of mass of a system of n particles (of constant mass) is given by:
where xcm is the position of the center of mass, m1 is the mass of the first particle, x1 is the position of the first particle, etc.
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