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center of mass

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3 point mass of 4g placed at x=1,3,-6. where should a point fourth mass of 4 gm be placed to make the center of the mass at the orgin?

this what i got : -24+4+12+4x/16=-8+4x/16. this what i did but i didn't get the right answer(which is 2) can someone tell me what is the problem

  • center of mass - ,

    to find the center of mass, you add up all of the x-points * all of their corresponding masses. (e.g. sum x*m)

    and you divide it by the sum of all of the masses (e.g. sum m)

    therefore (sum x*m)/(sum m).
    you are looking for where to place x to make the center of mass at the origin.

    so (1*4)+(3*4)+(-6*4)+(x*4) = 0
    solve for x.
    -8 = (x*4)
    x = 2


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