 # Harmonic Motion The motion of a mass on a spring with a damper is ...

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Harmonic Motion The motion of a mass on a spring with a damper is given by the solution of the ordinary differential equation ● How the solution behaves depends on the relative values of the two parameters: and Write a python code that asks the user for values of m, b, k, and xo, creates a plot of the system response over time, and tells the user if the system is over-, under-, or critically-damped.

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import numpy as np
import matplotlib.pyplot as plt

m = input("Enter value of m: ")
b = input("Enter value of b: ")
k = input("Enter value of k: ")
x0 = input("Enter value of x0: ")

m = float(m)
b = float(b)
k = float(k)
x0 = float(x0)

beta2 = float(b ** 2) / float(4 * m ** 2)
w02 = float(k / m)

be = np.sqrt(beta2)

result...

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