Physics- center of mass problem ?

AI Thread Summary
The discussion revolves around calculating the coordinates of mass m1 given the center of mass coordinates for an extended object. The user presents their calculations but seeks validation for their work. They use the center of mass formula, incorporating the masses and their respective coordinates. A participant advises the user to clarify the axis chosen for calculating moments and suggests posting unrelated questions as new topics. The thread emphasizes the importance of proper setup and clarity in physics problem-solving.
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Homework Statement



The coordinates of the center of mass for the extended object shown in the figure are (L/4, −L/5). What are the coordinates of m1? (Assume m1 = 4 kg, m2 = 2 kg, and m3 = 3 kg. Use any variable or symbol stated above as necessary.)

Here is the diagram : http://tinypic.com/view.php?pic=33da26e&s=7[
Can someone check my work?

4(x,y) + 3(-L/4,-3L/10) + 2(-3L/4,-L/4) = 0

-( 4x,4y) +(-3L/4,9L/10) + (-3L/2,-L/2) = 0

-4x - 3L/4 - 3L/2 = 0

-4y + 9L/10 - L/2 = 0

-4x = 9L/4

-4y = 4L/10

x = -9L/16

y = -L/10

P.S. please let me know what errors I made, if any.

Thanks.
 
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What axis have you chosen for calculating the moments of the masses? For the c.m. about the x axis, it's m1y1 + m2y2 + m3y3 = (m1 + m2 +m3) Y_c.m. , where the y1, y2, anmd y3 terms are the respective distances from the x axis, and Y_c.m. is given as -L/5.
 
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seansharpzy said:
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