Subject:
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Re: rtlToronto19: Balance of Power and other upcoming events
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Newsgroups:
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lugnet.org.ca.rtltoronto
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Date:
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Tue, 1 Mar 2005 18:06:35 GMT
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Viewed:
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875 times
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In lugnet.org.ca.rtltoronto, Rob Antonishen wrote:
> One option for the weight restriction is to use something like the
> weighting currently in use for jockeys... but on a case by case basis.
> Specifically, put two bots on the beam, then weight the end of the
> lighter beam until the two start off balanced.
I don't think that will work properly, though (from a fairness standpoint).
Specifically because:
10 N @ 1 m = 10 Nm
So a 1 kg mass (appr. 10 N) at the end of the beam generates a moment of 10 Nm
at the fulcrum.
Robot A weighs 25 N and robot B weighs 35 N.
They both start out 0.1 m from the fulcrum.
At the start, A generates a moment of 2.5 Nm, and robot B generates a moment of
3.5 Nm. The net moment at the fulcrum in the resting state is already 1 Nm, so
difference of 1 Nm must be generated to keep the system in balance. So a 0.1 kg
mass is placed 1 m from the fulcrum at the end of the beam to make up the
difference (since 0.1 kg = appr. 1 N.)
The robots move 1 m out at the same speed. It is desired in this situation for
the system to remain balanced.
The beam will not stay balanced, because, at 1 m:
Robot A weighs 25 N and is now generating a moment of 25 Nm.
Robot B weighs 35 N and is now generating a moment of 35 Nm.
The beam will favour B, because the 1 N mass we placed 1 m from the fulcrum is
making the net moment only 1 Nm less, while the net moment is now 10 Nm (instead
of 1 Nm as it was when the robots were just 0.1 m from the fulcrum). B will
have an unfair advantage.
Iain
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