- #1
diodagoat
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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.
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.
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.