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Given x,y coordinates of three point masses, find the center of mass, c.m.

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Three point masses are located in an x,y plane as follows:

M1= 7 kg, at (x1, y1)= (5, 6);
M2= 8 kg, at (x2, y2)= (-4, 6); and
M3= 9 kg, at (x3, y3)= (3, -2).

Find the coordinates (xcm, ycm) of the c.m. of the system.

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Solution Preview

Step 1.
Recall that a "point mass" is one which is small enough that its size is negligible compared to the dimensions of the system so that all ...

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In a step by step solution, the problem is explained and solved.

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