Basic Center of mass problem. Need assistance

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SUMMARY

The discussion centers on calculating the mass of a third point-like mass (M3) given the center of mass coordinates for two other masses (M1 and M2) and the requirement that the x-coordinate of the center of mass for all three masses equals zero. The known values are M1=49kg at (x1=65cm, y1), and M2=7.5kg at (x2, y2=(-85)cm). The user seeks clarification on the meaning of the center of mass condition and the unknown x2 value, ultimately determining that the problem refers to the center of mass of all three masses.

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Homework Statement


Two point-like masses have common center of mass located at (xc=2.1cm, yc=4.3cm). Mass M1=49kg is at (x1=65cm, y1). Mass M2=7.5kg is at (x2, y2=(-85)cm). A third mass M3 is placed at (x3=(-15.3)cm, y3=9.4cm). What is the mass of M3 if the x-coordinate of the center of mass of the 3 mass is at x=0?


Homework Equations



\sum (mi)(xi)/(mi) with respect to x.

The Attempt at a Solution


Find out the mass of m3, but what does this mean "x-coordinate of the center of mass of the 3 mass is at x=0?"

I cannot solve for m3 because the x2 is unknown.

Any ideas?

Thanks
 
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Find the missing value of x2 using the initial center of mass for the two first masses.

I think that they meant to write, "x-coordinate of the center of mass of the 3 masses is at x=0".
 
Thanks for your reply. Yeah I was confused on "3 mass." I thought he meant the 3rd mass. But I just figured out because I admit that I didn't read it carefully though. However, thanks though, I appreciate it.
 

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