Finding the CG of a System with m1 & m2

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Start date Apr 11, 2008
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SUMMARY

To find the center of gravity (CG) of a system consisting of two bodies with masses m1 and m2, first calculate the CG of each body separately. The overall CG can then be determined by using the formula CGx = (m1 * CG1x + m2 * CG2x) / (m1 + m2), where CG1x and CG2x are the x-coordinates of the CGs of the individual masses. This method applies similarly to the y and z components, ensuring accurate representation of the system's center of gravity.

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Understanding of center of gravity (CG) concepts
Basic knowledge of mass and weighted averages
Familiarity with coordinate systems (x, y, z)
Ability to perform arithmetic operations with physical quantities

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Students and professionals in physics, engineering, and mechanics who need to calculate the center of gravity for systems involving multiple masses.

Apr 11, 2008

vscid

If I have a body with mass m1, bolted to a body with mass m2, how do I find the CG of the entire system?
Thanks!

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Apr 11, 2008

HallsofIvy

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Homework Helper

Find the CG of each separately, Then find the "weighted" average with each weighted by its mass. That is, using _x to mean "x-coordinate". CG_x= (m1CG1_x+ m2CG2_x)/(m1+ m2). The same is true for the y and z components.