I am trying to solve a real-life design issue involving balance points. It's been a very long time since I've taken calculus and physics. I've search all equations for finding a fulcrum, and all of them assume the mass of the board used to balance is negligible.(adsbygoogle = window.adsbygoogle || []).push({});

Here is my scenario:

I have a 48" bar weighing 16 oz, so 1/3 oz per inch. At the far end, I want to place a 16 oz. weight. First part of the question: what equation would I use to find my current fulcrum. The simple equations tell me it will be directly under the weight, and I know this isn't true.

The second part is if I want the fulcrum to be 6 inches from the end of the bar, and I want the counter weight to be spread out over 24 inches starting from the opposite end, what is the weight/inch of the material I should use? Equations again would be helpful, as I understand my specs might have to change based on what I find.

O--------xxxxxxxx

So assuming that "-" is 3 inches with a weight of 1 oz., and "x" is 3 inches with a weight of 1 oz. plus w, and O has a weight of 16 oz., how do I find w so that the fulcrum is in the correct place?

I really appreciate any help on this. This is a project that I'd like to get correct the first time without having to go out and buy new materials after tons of trial and error.

Thanks again!

Dio.

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# Fulcrum of 1 weight versus mass of board

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