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154  INTRODUCTION TO PALEOBIOLOGY AND THE FOSSIL RECORD


                                    (a)  Class 1                                              Effort
                                                           Effort
                                      Load

                                                                           Load




                                                                                          Fulcrum
                                           Fulcrum



                                                                                      Load  Effort
                                                              Effort
                                    (b)  Class 2

                                                 Load




                                     Fulcrum
                                                                       Fulcrum





                                    (c)  Class 3
                                                                                            Effort
                                                                          Load



                                                              Fulcrum
                                     Load
                                               Effort                                         Fulcrum
                      Figure 6.11  Basic mechanical models for biological structures. There are different kinds of levers in use
                      in everyday appliances, and these styles may be seen in biological structures. (a) In a class 1 lever the
                      effort and load are on opposite sides of the fulcrum. (b, c) In class 2 and 3 levers the effort and load
                      are on the same side of the fulcrum, with the effort furthest away in a class 2 lever (b), and closest in a
                      class 3 lever (c).



                        The running cycle of any animal can be        ground during movement. The GRF swings
                      divided into the stance phase, when the foot    its line of action as the limb shifts its position,
                      touches the ground, and the swing phase,        and the point of maximum stress on the knee
                      when the foot is off the ground (Fig. 6.13a).   is at the mid-stance position (Fig. 6.13c) when
                      The limb swings through three extreme pos-      the knee is bent, the knee moment arm is
                      tures during the stance phase, from the point   longest, and the muscle moment about the
                      at which the foot touches the ground, through   knee acting against gravity is at its highest.
                      mid-stance as the body moves forwards to          Hutchinson and Gatesy (2006) showed
                      late stance just before the foot leaves the     that this is only one of many other possible
                      ground (Fig. 6.13b–d). An animal in contact     poses for the limbs. Could T. rex have run in
                      with the ground produces a ground reaction      a high ballet-dancer pose or an extreme crouch
                      force (GRF) that is the reaction to its body    (Fig. 6.13e–g)? The ballet-dancer pose is ruled
                      mass and the force of the limb hitting the      out because the line of the GRF is in front of
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