Car Oscillation Amplitude: Frequency & Constant Values

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The discussion centers on the relationship between a car's vertical oscillation amplitude and the frequency of an oscillating surface, with an emphasis on the constant amplitude of the surface. Participants analyze how the car's amplitude aligns with the surface's oscillation, questioning whether this occurs at low frequencies or at resonance. There is mention of a misleading graph, particularly regarding its right-hand tail, which should approach zero asymptotically. The conversation highlights the need for clarity in the graph to better understand the oscillation dynamics. Overall, the participants seek to clarify the conditions under which the car's oscillation amplitude is most affected by the surface's frequency.
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Homework Statement


The graph (see image in part 3) illustrates how the amplitude of a car's vertical oscilltions vary withthe frequency of an oscillating surface. I was asked to state the amplitude of the oscillation of the surface. I was told It stayed constant.

Homework Equations


Nil

The Attempt at a Solution


I narrowed it down to x and y. However I cannot justify one over the other.
1433674956109.jpg
 
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Jamessamuel said:
I was asked to state the amplitude of the oscillation of the surface. I was told It stayed constant.
And you can clearly see where the resonance is. Now, when do you think that the car's amplitude most closely follows the oscillation of the surface - at a very low frequency (for example when the oscillation period is 10 minutes) or at resonance?
 
The given curve is a bit misleading. The right-hand tail should be asymptotically zero.
 
haruspex said:
The given curve is a bit misleading. The right-hand tail should be asymptotically zero.
Might be, might it not?
 
Jamessamuel said:

Homework Statement


The graph (see image in part 3) illustrates how the amplitude of a car's vertical oscilltions vary withthe frequency of an oscillating surface. I was asked to state the amplitude of the oscillation of the surface. I was told It stayed constant.

Homework Equations


Nil

The Attempt at a Solution


I narrowed it down to x and y. However I cannot justify one over the other. View attachment 84563
Svein has the good clue for you.
 
rude man said:
Might be, might it not?
Sure, the curve shown doesn't rule it out, but it could be made clearer.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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