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02_200256_CH02/Bergren  4/17/03  11:23 AM  Page 34
                             34 CHAPTER TWO
                                3. We know that a stronger spring will make the weight bounce up and down faster
                                   than the weaker spring. To try this, put a second rubberband right next to the
                                   first one so that they act in unison and use the original single weight. This illus-
                                   trates how v increases with the spring constant K (see Figure 2-11).

                                             Heavier Weight on a Spring
                                             Frequency = 1.5, Damping = 0
                                         2.5
                                           2
                                        Position   x Position   x Position   x Position   x  1.5

                                           1

                                         0.5

                                           0
                                             0        2       4        6        8       10
                                                                Time  t
                                                                Time  tTime  t
                                                                Time  t
                             FIGURE 2-10 The movement of a heavier weight on a spring


                                             Weight on a Heavier Spring
                                             Frequency = 5, Damping = 0
                                         2.5

                                           2
                                        Position   x Position   x Position   x Position   x  1.5


                                           1

                                         0.5
                                           0
                                             0        2       4        6        8       10
                                                                Time  t
                                                                Time  t
                                                                Time  tTime  t
                             FIGURE 2-11 The movement of a weight on a heavier (more powerful) spring
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