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Objective
The object of this project is to design, build, and operate a trebuchet
that can launch a golf ball as far as possible. The trebuchet is
to be built from the Erector Set which you used for the squash
ball catapult. We will provide the golf ball.
Tasks
Your team's tasks include:
- Designing the trebuchet from the parts in the Erector Set. You
will have to supplement the kit with some type of sling and basket
to hold the golf ball, and some sort of counterweight to provide
the energy source for the trebuchet. The total cost of any additional
parts shall not exceed $6.50. The design must be such that the
golf ball can be launched repeatedly. The device you design can
be operated from top of a cart, or from the ground. The counterweight
and the length of the sling are important variables - your team
must address how to vary or how to fix these quantities. The release
procedure should allow the ball to be shot in a smooth and reproducible
manner.
- Constructing the trebuchet.
- Taking data on the trajectory of the ball being launched as
a function of either the counterweight or the length of the sling.
- Determining the performance map of the trebuchet from this data.
That is, your team must establish the relationship between the
length of the trajectory as a function of the counterweight or
the length of the sling.
- Carrying out an analysis of the trebuchet using your knowledge
of conservation of energy and rotational motion from physics.
- Demonstrating the performance of the trebuchet.
The final design and the design process must be documented by the
team. The design, design process, modeling and analysis, and results
of the final launch must be put in a final report. The final launch
will be carried out on the day of the final, and the report will
be due that day as well. There are more details on this at the end
of this page.
More Information
The trebuchet was a siege engine that ultimately replaced the catapult
in medieval war campaigns, mainly because the trebuchet could hurl
heavier objects longer distances than the catapult. It uses a counterweight
as the means of propulsion. The counterweight is attached to a pivoting
arm, and as the counterweight drops, a flexible sling attached to
the other end of the pivoting arm is swung into motion. The sling
holds the heavy rock, or diseased cow, or some other horrible missile
which is released from the sling near the top of its rotational
motion. The trebuchet can throw remarkably heavy objects considering
its very compact form. A very interesting article on the trebuchet
appeared in the May, 1995, Scientific American. In
addition, one can find an enormous amount of information about trebuchets
on the WWW. For example, here some sketches of a weight powered
trebuchet in various "states". This first figure shows a trebuchet
just before launch. This second figure shows a trebuchet just as
the sling is about to be lifted. And this third figure shows a trebuchet
just as the projectile is launched. Another view, of an actual scale
model trebuchet, made from sturdy wooden parts is shown here.
Modeling Information
Lee Rhodes, a senior in mechanical engineering, has put together
an Excel spreadsheet to model the
performance of a trebuchet. It assumes that the attached counterweight
drops vertically and does not act as a second pendulum. It also
assumes that the applied torque is constant with time, and rotational
kinematics can be applied to determine the angular positions as
a function of time. You may use (or modify) this spreadsheet.
Evaluation procedure
Background
On the day of the final, several evaluations will be carried out
- some you will directly perform (either as individuals, or as teammates),
and one carried out by the Foundation Coalition instructors to assess
your performance on this project (and thus in this class). In order
to help you with the assessment activities, it is necessary for
you to understand the pedagogical concept of level of learning.
The levels of learning (LoL) were first enumerated by an educator
named B. Bloom who described these levels in a book entitled Taxonomy
of Educational Objectives published in 1956. Sometimes the
LoLs are called Bloom's Taxonomy. They are listed in brief in this
table:
| Level of Learning |
Attributes |
Activities |
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Knowledge
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Recalling information
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Giving definitions
Recalling facts
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Comprehension
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Making use of ideas without relating them to other ideas
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Detailing processes
Restating ideas in ones own words
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Application
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Being able to use an idea, method without being told to use
it
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Applying laws of math, physics, etc., to practical situations
Working project-type problems
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Analysis
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Being able to explain why
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Explaining reasons for conclusions
Describing causal relationships
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Synthesis
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Putting together parts and elements into a unified organization
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Developing a model
Proposing or creating a design
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Evaluation
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Judging the value of ideas, processes using appropriate criteria
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Determining which modeling approach is best for one's needs
Deciding whether a design is feasible
Determining whether an object possesses quality
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With these points in mind, the assessment activities can now be
described.
Assessment of another team's trebuchet
Since your team has gone through the process of designing, constructing,
analyzing, modeling, testing, evaluating, modifying, and describing
your trebuchet, you have learned a great deal about this machine.
You, as individuals and as teams, probably know more about trebuchets
than all others at ASU - perhaps even in Arizona. So you therefore
are well poised to assess the quality of another team's trebuchet.
In other words, although you may have reached only the comprehension
level in some of the specific topics in other areas of this class,
you are approaching the evaluation level in this area.
So, during the trebuchet shoot-out, we would like you to carry
out an evaluation of another team's trebuchet. To carry out this
evaluation, we would like you to use a Kepner-Tregoe decision analysis
procedure using this blank KT form. You get
to determine the "musts" and "wants" categories for the analysis.
To make this process go smoothly, make up the KT table in advance
of the shoot-out.
You must interview the team to decide which LoL the team has achieved
in each of the "wants" categories. Can the team describe what it
has done (Knowledge, Comprehension)? Can the team describe why it
has done some activity (Application, Analysis)?
On the day of the shoot-out, observe the performance of team's
trebuchet and then carry out the interview and KT analysis. During
the afternoon of the final exam, use your team's joint writing skills
to write this evaluation and attach it as an appendix to your own
report.
Assessment of your teammates' individual performance
We would like each of you to evaluate your own and your teammates'
performance in this last project. It is a very simple process. You
imagine that your team is a "company" that designs and manufactures
trebuchets. You have a total of $40,000 to distribute as "salaries"
to each team member, including yourself. On the salary form, assign
a salary to each team member based on your own perception of that
team member's contribution to the team. The sum of all salaries,
of course, must add to $40,000. Do not show your evaluation to your
teammates - it is supposed to be an anonymous process. Turn these
evaluations into Prof. Roedel - inside a sealed envelope.
Assessment of your own team's performance
After the demonstration of all of the trebuchets, you will return
to the classroom and prepare:
- Your final report
- The completion of the KT form and the Appendix describing your
assessment of the other team's machine
During this time, you will also be interviewed by a panel of Foundation
Coalition faculty. The interview will be brief - approximately 15
minutes in length - and the panel members will ask you and your
teammates questions about the design and operation of your trebuchet.
The questions will probe the levels of learning you have attained
in this project, and your answers will be factored into your grade
in the FC courses.
At the end of the interview, you can return to the classroom and
carry out the following tasks:
- Complete your reports.
- Return your Vizability textbooks.
- Dismantle the trebuchets, put the parts back in the cases, and
return the erector sets.
When you have submitted the reports to Prof. Roedel (as a .doc
or .htm file on a disk) and returned the other items, your FC Semester
is finished!
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