The discussion centers on the relationship between the energy of traveling waves and their displacement curves. It is established that displacement in transverse waves is directly related to the energy propagated through the medium. When a wave is generated, such as by shaking a taut rope, the energy causes displacement, which can be reflected if the receiving end is held stationary. Additionally, the conversation explores the dynamics of standing waves, emphasizing that while they oscillate vertically, their energy flow and displacement direction are interconnected.
PREREQUISITESStudents and educators in physics, wave mechanics enthusiasts, and anyone interested in the principles of energy transfer in waves.
Not exactly. I know the displacement is related to energy, but I want to get a further deeper understanding that it will move up or down if energy flowes into it. Or we could say the relationship between its displacement's direction and its direction of energy propagation. Do you know what I mean?elegysix said:I am not quite sure what you are asking, but it takes energy to cause the displacement. The displacement is directly related to the energy propagated for transverse waves.
for example, suppose you and your friend are holding different ends of a taut rope. You shake your end and do work on the rope causing displacement and a traveling wave. On the other end, the wave does work on your friend's hand by forcing it to shake as you shook it. If your friend does not allow his end to move, the energy is trapped in the rope/wave and reflected back towards you. So the actual displacement carries the energy, if that's what you're asking.