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I don\'t know what to think about this question... I would think it should be si

ID: 1845787 • Letter: I

Question

I don't know what to think about this question...


I would think it should be sinusoidal and eqponetially decaying with a high amplitude.... as the bell gets thicker does the amplitude decrease.


Please provide a few examples of equations that may work so that I can check my solutions


When a hell is struck with a mallet, it produces a ringing sound. Write an equation that approximates the sound produced by a small, light bell. Carefully identify your assumptions. How does your equation change if the bell is large and heavy? you can assess the quality of your models by using the MATLAB sound command to listen to your "bell."

Explanation / Answer

Let the equation be 1.0 x sin(100t) x cos(100t) x exp(-0.5t)

Use the following matlab code:

clear all;
clc;
t=linspace(1,10,10000);

n = size(t,2);

for(i = 1:n)
      y(i) = 1.0*sin(100*t(i))*cos(100*t(i))*exp(-0.5*t(i));
end

sound(y)


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