Find the x Coordinate of the Center of Mass of 3 Chocolate Blocks

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SUMMARY

The x coordinate of the center of mass for three chocolate blocks with masses 0.310 kg, 0.410 kg, and 0.200 kg, located at coordinates (0.200 m, 0.310 m), (0.110 m, -0.380 m), and (-0.280 m, 0.610 m) respectively, is calculated using the formula (mass1*x1 + mass2*x2 + mass3*x3) / (m1 + m2 + m3). The correct calculation yields an x coordinate of approximately 0.0555 m. The user initially miscalculated the x coordinate but corrected it after recalculating without rounding errors, confirming the result with assistance from other forum members.

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Homework Statement



Three odd-shaped blocks of chocolate have the following masses and center-of-mass coordinates:
(1) 0.310 kg, ( 0.200 m, 0.310 m);
(2) 0.410 kg, ( 0.110 m, -0.380 m);
(3) 0.200 kg, ( -0.280 m, 0.610 m).

Find the x coordinate of the center of mass of the system of three chocolate blocks.

The Attempt at a Solution



This is how I commenced,

I took (mass1*x1+mass2*x2+mass3*x3)/(m1+m2+m3) and got .051

this should be right but I got it wrong. I then redid the calculation and this time I got .05
not that much difference, I only got one try left, and don't think this is right because they are so close together.

I did the y the same way and got it right. :S

Please and thank you.
 
Last edited:
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Well, then you have put in the wrong numbers somewhere (I assume that even though you have written m3*x2, that should read m3*x3)
It is impossible for us to know how you clicked about on your calculator.

You should, at least, calculate the following:
\frac{0.310*0.200+0.410*0.110-0.2*0.28}{0.92}=\frac{0.062+0.0451-0.056}{0.92}=\frac{0.0457}{0.92}
which ought to be about what you've found already..
 
Last edited:
for some reason, either my calculator is wack, for the numerator I keep on getting

.062+.0451-.056 = .0511

for the denominator I get .92

.0511/.92 = .055543478

:cry:

edit: I tried it on windows, and I get .0511 too. :O
 
for your x i got .055543. try that and see if it works. I did it how you had it up there and that is what I got. I did this on my homework yesterday and got it right so it should be right. :)
 
yep, it's right thanks. I it just as it showed in the calculator this time without any rounding. :)

thank you princessfrost and arildno for your help.
 

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