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Likurg_2 [28]
3 years ago
10

Shelli is a student describing the resonance of a metal beam. She demonstrates that the sound dims when the beam is vibrated at

a certain frequency.
What does she most likely say in response to the dimming sound?
Physics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0
Shelli will most likely say that the sound produced by the resonance of a metal is affected by the frequency at which the metal is vibrated. There is a certain frequency that will create a dim sound. If the frequency is changed to the right setting, the sound will intensify.
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Answer:

x=(0.088m)\cos(\sqrt{\frac{k}{m} }  t)

Explanation:

We first identify the elements of this simple harmonic motion:

The amplitude A is 8.8cm, because it's the maximum distance the mass can go away from the equilibrium point. In meters, it is equivalent to 0.088m.

The angular frequency ω can be calculated with the formula:

\omega =\sqrt{\frac{k}{m}}

Where k is the spring constant and m is the mass of the particle.

Now, since the spring starts stretched at its maximum, the appropriate function to use is the positive cosine in the equation of simple harmonic motion:

x=A\cos(\omega t)

Finally, the equation of the motion of the system is:

x=(0.088m)\cos(\omega t)

or

x=(0.088m)\cos(\sqrt{\frac{k}{m} }  t)

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<h2>Deforestation</h2>

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