Waves in a pool of water having a rubber sheet ground

[DaTario]

Hi All

Suppose we have a rectangular pool filled with water. But the concrete ground of this pool is substituted by a rubber sheet, resistent obviously to the weight of the water inside the pool. Now consider we produce a plane wave traveling along the greatest dimension of this rectangular pool. Suppose for simplicity that there is only one peak. My question is:

At the vicinity of the peak, the height of the water column if higher than in other regions of the pool. Therefore are we to expect that another wave is propagating along the rubber sheet just bellow the regions of peak in the wave of water ?

Thank you all

Best Regards

DaTario

 

[DaTario]

Let me explain my concern in this system.
The feedback mechanism between the mode to the ground and from the graound to the velocities of the waves has led me to consider that in this system we could obtain some sort of mode of propagation which affects itself through the rubber sheet in such a way that it restricts itself to a limited region of space.

Hoping to have clearified the reason of posing this question,

Best Regards,

DaTario

 

[charng]

Hello DaTario,

Thank you for your interesting question. I can provide some insights into the behavior of waves in a pool of water with a rubber sheet ground.

Firstly, it is important to note that when a wave travels through a medium, it causes a disturbance in that medium. In the case of water, the disturbance is in the form of oscillations or vibrations that propagate through the water. When the wave reaches the rubber sheet ground, it will also cause vibrations in the sheet.

Now, to answer your question, yes, it is possible for a wave to propagate along the rubber sheet just below the regions of peak in the water wave. This is known as a surface wave or a Rayleigh wave. These waves travel along the surface of a medium and are commonly observed in water and other fluids.

The height of the water column at the peak of the wave will cause a compression in the rubber sheet, which will then propagate as a surface wave along the sheet. This wave will have a lower amplitude compared to the water wave, as the rubber sheet is less dense and has a lower velocity of propagation.

In addition, the rubber sheet may also affect the speed and amplitude of the water wave. The elasticity of the rubber sheet will cause it to act as a spring, which can either amplify or dampen the water wave as it travels over the sheet.

In conclusion, yes, it is possible for another wave to propagate along the rubber sheet just below the regions of peak in the water wave. This is known as a surface wave and is a common phenomenon in wave propagation. I hope this explanation helps to answer your question.

Best regards,