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A light plank rests on two scales that read Fg1 = 410 N and Fg2 = 310 N. The scales are separated by a distance of 2.00 m. How far from the woman's feet is her center of gravity (the woman is laying on a plank with scales on both ends supporting the woman and plank)?





You have three unknowns: weight of woman, weight of plank, and cg for the woman.
Assume the womans feet is at Fg1.
wplk is weight of plank
woman is weight of woman
d is the distance from her feet.

Writing equations:
1) about Fg1
310*2 - wplk*2 - woman*d=0
2) about fg2:
410*2 - wp1k*2 - woman(2-d)=0
3) about the center (cg of board)
310*1 + woman*(d-1) -410*1=0

Three equations, three unknowns.

Is it possible to solve for the three unknowns with the information given?

Three independent equations says you can. I had the same thought when I started. See if those equations lead to a solution for it. In my mind, d depends on the weight of the woman vs plank. So it may not lead to a solution.

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asked by Jen

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