Round 1: Over interim of our senior year, my roommate Sam,
Robert, and I built a small trebuchet to throw caf
apples, as part of the First Annual Society of Physics Students Catapult Contest.
The contest was sponsored by us (Sam being SPS "President" after usurping power
due to member apathy and failure to hold elections), as a thinly veiled excuse
to build a catapult-type device. The first version was adequate, but Robert and I
beefed it up the day before the contest, so that it had a rather Frankenstein
appearance.
Here are some pictures and movies of the fun we had. Click on the images
for full sized versions.
   Round 2: Finding himself in the difficult position of having
no real classes the second semester of his senior year, and constantly complaining
that he had no homework, Robert decided to pursue construction of a larger device
which the three of us had discussed while building the first. Catapults are similar
to boats, in that you always want one that is just a few feet bigger. I participated
in the early planning and a tiny bit of construction, but Robert soon brought together the
Ballistic Engineers to realize his dream. The team consisted of Robert, Peter Pearson (of
radar group fame), Josh Braun, and Evan Frodermann; some of whom actually knew something
about using power tools and building with wood (an improvement over my ignorant enthusiam
in the face of power tools while building the previous trebuchet, which had led to a few scares
for Sam and Robert). Limited only by the size of the doors to the woodshop, this larger
trebuchet had dimenions of 6.5' high by 8' wide by 8' long, a massive contraption. Anytime
I mention building a trebuchet now, Robert is quick to dismiss our first project as a mere
prototype, and point out that his trebuchet was much bigger. As we all graduated at the
end of the year, the Saint Olaf physics department became the lucky recipients of a
generous donation by the Ballistic Engineers for future class demonstrations.
   Math Mess: All this catapult mania inspired a Problem of the Week in the Math Mess. See below for problem and solution.
Click on the pictures below to download .avi movies of the trebuchet.
Warning: Both of these movies are over 1 MB large. Unless you have a highspeed internet connection, you'll have to wait a long time for them to download.
Click on the pictures below to download .avi movies of the trebuchet.
Warning: All of these movies are over 1 MB large. Unless you have a highspeed internet connection, you'll have to wait a long time for them to download.
Exploding cantalope! Look at that huge throwing arm. |
Another great movie of flying fruit. |
When we ran out of moldy cantalopes, grapefruits worked just as well. |
As seen in the MathMess...
(Professor Molnar is the Problem Guy)
Problem: "Here is another immensely practical problem which I was reminded of watching trebuchet videos on Tom Engle's homepage. It is well known that the best angle at which to launch a projectile in order to maximize distance traveled across a flat field is 45 degrees. (This is math class; we ignore air resistance, etc.) That's all well and good, but what if you are launching apples down Old Main hill? I don't know how much of a slope that is, so let's call the angle of inclination X. Assuming a fixed initial velocity, what launch angle (as a function of X) will maximize distance traveled down the hill?" |