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Walker Lightweight

Can anyone help with a physics problem with Center of Mass?

To determine the location of his center of mass, a physics student lies on a lightweight plank supported by two scales L = 4.40 m apart, as indicated in the link.

http://www.webassign.net/walker/11-29alt.gif

Find the distance from the student's head to his center of mass.
the left scale reads 336 N, and the right scale reads 165 N. Students mass is 51. I used the equation:

x=F2*4.4/(F1+F2)

x= (165)(4.4)/ (366+165)= 1.36 which is incorrect. Also tried a different method and got 3 which is also incorrect.

You also need to know the reading of the scales.
I will solve it using F1 as the reading at the scale below the head and F2 as the reading of the far scale.
Note that F1+F2=W where W is the students weight

F2*4.4=W*x
x=F2*4.4/(F1+F2)

_____________-

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