That's only because the figure doesn't plot g+h. You can easily see where the nodes must be.blueberryRhyme said:Hi haruspex, thank you for yr time to have a look at my question. the Figure doesn’t include nodes/anti nodes.
You seem to have completely misunderstood the question.blueberryRhyme said:
The amplitude, represented by A, is the maximum displacement of the wave from its equilibrium position. In this case, both waves have the same amplitude, A.
k is the wave number, which is equal to 2π divided by the wavelength. It represents the number of complete cycles of the wave per unit distance. w is the angular frequency, which is equal to 2π divided by the period. It represents the speed at which the wave oscillates.
The main difference between the two waves is the phase shift, represented by phi. In the first wave, g(x,t), the phase shift is 0, while in the second wave, h(x,t), the phase shift is phi. This results in the two waves having different positions at any given time, even though they have the same amplitude and frequency.
The two waves are called traveling waves because they both move in the same direction with the same speed and frequency. They are also considered to be in phase with each other, meaning they have the same starting point and are in sync with each other as they move.
These equations are commonly used in the study of wave phenomena, such as sound waves, light waves, and water waves. They can also be applied in fields such as acoustics, optics, and oceanography to model and analyze various wave behaviors and interactions.