- How to build and optimize your trebuchet: Go to the website www.benchtophybrid.com/TB_index.html.
Choose the style of trebuchet you would like to build (avoiding the Fixed Arm 1DOF trebuchet, which does not
appear to work) and adjust the parameters to maximize the average of “Range Efficiency” and “Energy
Efficiency,” keeping a meticulous written record of how you changed the parameters and how each of these
changes affected your result. This average is the only criterion that I will use to judge your trebuchet’s
performance. Feel free to experiment with different styles before settling upon your final choice. - Presentation (6 pts, 10%): Your virtual trebuchet will be graded, based on the average of its range and
energy
efficiencies. You will submit with your report a screen shot of your final trebuchet and the trajectory of the
projectile. - Project report (48 pts, 80%--MUCH MORE IMPORTANT!!!): Your report must be a detailed description of the
physics involved in launching the projectile using your final trebuchet. Reports must include, but are not limited
to, the following sections (You can name them something else if you want.):
a. Introduction to the problem: State what you are trying to accomplish and explain any relevant physics.
Answer the following questions:
▪ Assuming no air resistance, what is the simplest equation that describes the horizontal component
of the velocity of the projectile in flight and why? (If it changes, express it as a function of Δt.)
▪ Assuming no air resistance, what is the simplest equation that describes the horizontal position of
the projectile in flight? (If it changes, express it as a function of Δt.) This is not about the final
horizontal position (range), but about horizontal position in general during the entire flight.
▪ Assuming no air resistance, what is the simplest equation that describes the vertical component of
the velocity of the projectile in flight, and why? (If it changes, express it as a function of Δt.)
▪ Assuming no air resistance, what is the simplest equation that describes the height of the projectile
in flight? (If it changes, express it as a function of Δt.) This is not about maximum height, but about
height in general during the entire flight.
▪ Assuming that the height difference between the launch and landing of the projectile can be
neglected, what launching angle should theoretically yield the longest horizontal range? Explain
separately in detail why angles smaller than this or larger than this produce shorter horizontal
ranges.
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