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Re: trebuchet



At 4:15 PM -0500 2/11/99, Donald E. Simanek wrote:
One doesn't often see the trebuchet mentioned in physics texts, yet it is
a very interesting mechanism, and suggests some questions worthy of
discussion here.

So, here's the question for physicists. Why does this articulated-arm
engine convert energy to the projectile so much more efficiently than
rigid-arm engines? Modern trebuchets (often seen at Medieval fairs) have
achieved efficiencies as high as 64%, according to the literature, with
100 lb projectiles and a range of over 600 feet and a mass ratio
(counterweight/projectile) of 20.


But if you are going to introduce the trebuchet into a physics course, I
suppose you'd feel obligated to delve into the history of it, and also do
the physics of it by analysis of the energy and angular momentum changes
in the device during the swing. Otherwise, why do the experiment? Good
luck, for it isn't simple. Perhaps someone will do the general
mathematical analysis and post the results here.

in recent years, we've had two student groups who used 'Interactive
Physics' to 'optimize' (really more just messing around) the design of this
machine. The big one used a ten foot beam and easily threw five pound
flour sacks > 100 meters.

A smaller one (six feet high?) would throw golf balls half that distance.

An interesting design and construction project but they did NOT do a very
sophisticated analysis. Mostly trial and error with the computer simulation.

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