Vibration and Frequency Questions

AI Thread Summary
The discussion revolves around understanding vibrations and frequencies in two contexts: a bungee cord and seismic waves. The bungee cord, with a mass of 75 g and an equilibrium length of 1.20 m, is stretched to 1.80 m and vibrated at 20 Hz, resulting in a standing wave with two antinodes. Participants are attempting to calculate the linear density, which has been found to be 0.0626 kg/m, but they express confusion about the next steps in the problem. The second part discusses seismic waves, highlighting the difference in speeds between longitudinal (P waves at 8000 m/s) and transverse waves (S waves at 4500 m/s), with users seeking guidance on how to approach related calculations. Overall, the thread emphasizes the challenges of applying theoretical concepts to practical problems in wave mechanics.
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Homework Statement


A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes.

Homework Equations


Linear Density = m/L

The Attempt at a Solution


So far I've only found the linear density to be 0.0626kg/m. I'm stuck after this and have no clue on where to start next.

Homework Statement


Earthquakes are essentially sound waves traveling through the earth. They are called seismic waves. Because the Earth is solid, it can support both longitudinal and transverse seismic waves. These travel at different speeds. The speed of longitudinal waves, called P waves, is 8000m/s . Transverse waves, called S waves, travel at a slower 4500m/s . A seismograph records the two waves from a distant earthquake.

Homework Equations



Not sure.

The Attempt at a Solution


I'm not exactly sure on how to start this. This topic is very new to me. Can someone get me started?
 
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So what I did for this question is, attempt to plug in values for 'm' so, for example

390 = m v/2L
390 = 1 343/2L

and find length that way,
it turned out that 390 represents the 3rd modal where (m = 3). Velocity is of course 343 m/s because sound will travel thorugh the tube which is open-open.
 
oh yeah, i got that question just after I posted. Thanks for explaining a different method though. I used a different way to find the length of the tube.
 
um can anyone fill me in on these two questions?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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