Basic Center of mass problem. Need assistance

AI Thread Summary
The discussion revolves around calculating the mass of a third object, M3, based on the center of mass of two known masses, M1 and M2, and the requirement that the overall center of mass of all three objects is at x=0. Participants clarify that the phrase "3 mass" likely refers to the three masses collectively rather than the third mass alone. There is confusion regarding the unknown x-coordinate of M2, which is necessary for solving the problem. Ultimately, one participant suggests finding x2 using the initial center of mass of M1 and M2 to proceed with the calculation. The conversation highlights the importance of careful reading in problem-solving.
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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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