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Ben is Dumb
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Homework Statement
A 65.0-kg person stands on a horizontal board. The board is 10.0-m long and is NOT perfectly uniform. The person stands 1/4 of the way from the left end of the board. The board is supported at each end by a scale. The scale on the left reads 753 N and the scale on the right reads 619 N.
What is the mass of the board?
How far from the left end is the board's center of mass?
My digital drawing skills are just as solid as my math skills.
Homework Equations
None/unsure
The Attempt at a Solution
I was able to get the mass of the board (75kg) but unable to calculate the center of mass. It seems like integration would do the trick, but my class has been a bit skimpy on the calculus and I'm unsure how to set it up. Otherwise balancing the torques makes sense, but I can't get rid of the person's influence on the scales. I apologize if this isn't much of an attempt at a solution, but I've tried to look at this thing a bunch of different ways and can't seem to get very far.
Thanks for the help!
Ben
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