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In Reply to: RE: Calling all mechanical engineers - lever problem ... :-)) posted by andyr on October 04, 2014 at 21:59:02
You need to specify both the length of the "arms" and the angles between them. With that info you can then set up three simultaneous equations and solve for the three unknowns: the force at the end of each arm that will result in static equilibrium of your star. Although you mentioned an equilateral triangle, you didn't specify what type of star you had.
Follow Ups:
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Use Matrices to solve a system of equations.
In this case a matrix for three equations (possibly differential equations).
Not too bad if you are only taking into account the three weights/distances/angles.
It will start to get complicated if you bring in spring rate change with compression, angle changes with weight shifts and other factors.
Should be a piece of cake for a first or second year math major.
I don't know how badly you need this but your local University can hook you up with a math or engineering major. A cash starved student may jump at a few bucks to set you up.
Sorry Andy, more than three decades since I've had to do serious math. I can feel a tickle buried in my brain that wants/needs to do this but there is just not enough left. Math not brain :-).
Haha - thank you for your input, DE.
I should have the maths to hand ... but I guess 45 years of alcohol since those days has depleted the brain cells. (Not including, in Dr Strangelove terms, the loss of essential bodily fluids! :-)) )
Regards,
Andy
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jm
maybe, John,
It's been a long time since I saw the film. :-))
Regards,
Andy
Ah, you mean the Communist conspiracy to sap and impurify all of our precious bodily fluids!
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