Solving for Center of Mass: Equation and Explanation for 2 and 3 Masses

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To find the center of mass for two masses, the equation is x_cm = (m1*x1 + m2*x2) / (m1 + m2), where x_cm is the center of mass, m1 and m2 are the masses, and x1 and x2 are their respective positions. For three masses, the formula extends to x_cm = (m1*x1 + m2*x2 + m3*x3) / (m1 + m2 + m3). The center of mass is determined by the weighted average of the positions of the masses, accounting for their magnitudes. Understanding this concept is crucial for solving problems related to equilibrium and motion in physics. Accurate calculations of the center of mass are essential for various applications in mechanics.
AngelsMind
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I'm having trouble finding the equation to find the center of mass between 2 masses. I'm guessing it's something like add the masses and find a ratio between them and apply it to the distance between their own center of masses but I'm not sure. can someone give me the equation and an explanation for each variable? Also what would you do to find the center of mass for 3 individual masses.
 
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Check this site http://www.ottisoft.com/samplact/Center%20of%20mass.htm

CraigD, AMInstP
www.cymek.com
 
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thanks alot
 

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