1 . 5 239 AW 095 4. A node is a place where the right and the left moving waves "cancel out," because the excess pressures add to zero. On the set of waves above locate at least two nodes, or places where the total standing wave amplitude remains zero all the time 5. On the axes below construct (don't just sketch) six different pictures of the standing wave you constructed in 3 and 4, each one at a different time during the cycle, but use the same origin for the horizontal axis, which is position in space. The result should look like a sort of jump rope patter with the nodes (fixed points) standing out plainly. HHHHH6. At the right is a pictorial representation of a standing wave at four different, consecutive times. A node (the word node comes from knot) in the jump rope picture you made is a point where the pressure does not fluctuate. Draw in at least two vertical lines on the picture to indicate where nodes would be. Think about this carefully. 7. Imagine an ant crawling along the inside of the tube from left to right. Describe in a sentence or two (use complete sentences) what the ant would hear and how this correlates with where the ant is in the standing wave pattern as it crawls along.1. Consider first the pressure vs. position at fixed time for a traveling sound wave. On the upper axes, sketch the over-pressure (pressure minus atmospheric pressure) as vertical and position along the horizontal for a sound wave traveling toward the left. Make the lower graph at a slightly later time than the upper graph, but for the same sound wave. On each graph add an arrow to indicate the distance of one wavelength. Label the axes. 2. Consider again the same wave traveling toward the left, but this time graph pressure vs. time at a fixed position for the sound wave. Sketch the over-pressure as vertical and time as horizontal. Make the lower graph at a position slightly to the right of that in the upper graph, but for the same wave. On each graph add an arrow to indicate the time interval corresponding to one period. Label the axes. 3. So much for traveling waves, now let's review standing waves. When a traveling wave runs into a barrier-like a wall in the case of sound-it is reflected. The reflected wave has the same wavelength and frequency but moves in the opposite direction. What happens is that the original wave and the reflected wave add up to produce a standing wave. The standing wave doesn't "move" to the right or left but oscillates up and down in a "jump rope" like pattern. In the four frames on the next page you see two traveling waves, one going right (solid) and one going left (dashed). The over-pressures add at each instant to form the standing wave. It's your job to take your pencil and sketch in the sum for each of the three sets of curves