Re: Physics puzzle: chin-ups.
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If you see that someone can't quite curl 75 pounds, is it safe to bet that he can't do a 1-handed chin-up?
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Nope. I can do a one handed chin-up, but I'm not even close to curling 75 pounds (with one hand at least). More like 50 for a 1-rep max when I'm in good shape.
As for your problem, it seems impossible to measure accurately. There are too many factors, one of which is how proficient the individual lifter is at the chin-up versus the curl. This fact throws off your whole study, since it is dependent on the subject. You might be able to figure out some reasonable range, however. To do that would probably take experiments, though. This cannot be determined conceptually.
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