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22      15 Dangerously Mad Projects for the Evil Genius


                                                             You will likely need to make a few adjustments
                                                           to the pin before this works well. If the ball flies
                                                           off too low to the ground, then bend the pin back a
                                                           little so the sling is released earlier. Or, if the ball
                                                           is released too early and flies straight up into the
                                                           air, bend the pin forward a little.
                                                             This book’s web site (www.dangerouslymad
                                                           .com) contains links to videos showing the
                                                           trebuchet in action. These may be useful to
                                                           refer to.

         Figure 2-14   The trigger mechanism
                                                           Theory
        (Figure 2-14). To fire the trebuchet, simply pull the
                                                           The trebuchet takes its energy from the weight that
        nail out.
                                                           falls as the arm swings. This “potential” energy is
                                                           transferred to the arm and sling of the trebuchet
        Fire!                                              and is released as kinetic energy in the tennis ball.
                                                           As we know the energy stored in the weight and
        A tennis ball makes a good projectile. It has the  know how far the tennis ball can be thrown, we
        advantage of being fairly tough and not being      can calculate both the energy going into the system
        damaged by a collision with a target (minion). To  and the energy released into the ball by the system.
        test the trebuchet, a suitable open space should be  This will allow us to calculate the efficiency of our
        found and minions dispatched to a reasonable       trebuchet.
        distance in front of the trebuchet.
                                                             The input energy can be calculated using the
           Fit the ball into the sling and pull down the   formula:
        throwing arm until it can be pinned by the trigger
                                                                             E   mgh
        nail. Stretch out the sling in the runway, with the
        ball at the far end, so that the rope is straight and  where m is the mass of the weight, g is the
        the loop is over the pin on the end of the throwing  gravitational acceleration on Earth (9.8), and h is
        arm.                                               the height.
           Stand clear of the trebuchet and pull on the      So the energy in joules is approximately:
        string to release the nail holding the throwing arm            E   8 kg * 9.8 * 0.5m
        in place. The ball should sail off into the distance.
                                                                              40 joules
        Dispatch a minion to retrieve it and do it again,
                                                             On the other hand, we can calculate the
        because it’s fun.
                                                           approximate amount of energy that was transferred
                                                           into the ball on the basis of the distance that it
        Tuning the Trebuchet                               traveled and its weight.
                                                                                 1
                                                                            E      mv 2
        There are various things you can do to the
                                                                                 2
        trebuchet to squeeze the best performance out of                    2
                                                                       d    v        v   dg
                                                                                      2
        the engine.                                                        g
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