In this section, we would like to apply what we have learned in the previous sections to address the question of what happens when we take an oscillator and push, or drive, it with a periodic force. This is somewhat akin to pushing a child on a swing, where the swing by itself is an oscillatory system with a certain natural frequency , and we can drive the system by pushing with whatever frequency we desire. An interesting questions about this system is what driving frequency will result in the largest response? As you may suspect, the answer is to drive at a frequency which nearly matches the natural frequency of the system, . But, as we shall see, the answer isn't quite that simple.