![]() ![]() ![]() The mass' position look like every quarter of a second. The pattern is depicted in the animation shown below.A mass connected to a spring and that spring's tied to the ceiling and you give this mass a kick, well, it's gonna start oscillating, will oscillate downĪnd up and down and up, but if I were to try to draw this, all those drawings would overlap, it'd look like garbage. The standing wave pattern for the third harmonic has an additional node and antinode between the ends of the snakey. If the frequency at which the teacher vibrates the snakey is increased even more, then the third harmonic wave pattern can be produced within the snakey. This pattern with three nodes and two antinodes is referred to as the second harmonic and is depicted in the animation shown below. As in all standing wave patterns, every node is separated by an antinode. This standing wave pattern is characterized by nodes on the two ends of the snakey and an additional node in the exact center of the snakey. For instance, if the teacher vibrates the end with twice the frequency as that associated with the first harmonic, then a second standing wave pattern can be achieved. Other wave patterns can be observed within the snakey when it is vibrated at greater frequencies. It is the simplest wave pattern produced within the snakey and is obtained when the teacher introduced vibrations into the end of the medium at low frequencies. The above standing wave pattern is known as the first harmonic. The animation below depicts the vibrational pattern observed when the medium is seen vibrating in this manner. The simplest standing wave pattern that could be produced within a snakey is one that has points of no displacement (nodes) at the two ends of the snakey and one point of maximum displacement (antinode) in the middle. ![]() These points of maximum displacement are referred to as antinodes. Positioned in between every node is a point that undergoes maximum displacement from a positive position to a negative position. These points of no displacement are referred to as nodes. With precise timing, reflected vibrations from the opposite end of the medium will interfere with vibrations introduced into the medium in such a manner that there are points that always appear to be standing still. If the timing is not precise, then a regular and repeating wave pattern will not be discerned within the medium - a harmonic does not exist at such a frequency. These frequencies and their associated wave patterns are referred to as harmonics.Īs discussed earlier in Lesson 4, the production of standing wave patterns demand that the introduction of crests and troughs into the medium be precisely timed. ![]() Each frequency is associated with a different standing wave pattern. There are several frequencies with which the snakey can be vibrated to produce the patterns. Such standing wave patterns can only be produced within the medium when it is vibrated at certain frequencies. A variety of actual wave patterns could be produced, with each pattern characterized by a distinctly different number of nodes. The waves reflect off the fixed end and interfere with the waves introduced by the teacher to produce this regular and repeating pattern known as a standing wave pattern. Standing waves are often demonstrated in a Physics class using a snakey that is vibrated by the teacher at one end and held fixed at the other end by a student. These points that have the appearance of standing still are referred to as nodes. As mentioned earlier in Lesson 4, standing wave patterns are wave patterns produced in a medium when two waves of identical frequencies interfere in such a manner to produce points along the medium that always appear to be standing still. ![]()
0 Comments
Leave a Reply. |