need to reproduce the 3 curves in the plot using python or excel 1. The motion of a mass on a spring with a damper is given by the ordinarydifferential equationd?xdx+ bm+ kx = 0dt2dtHow the solution behaves depends on the relative value of the twoparametersB = b/(2m) and w = k/mover damped"critically dampedunder damped0.5-0.5timeWrite a Python Program or an Excel file that recreates the plot above. Assumethat m, k, and Xo all have a value of 1. Then vary then find values for b that createeach of the three plots. Submit the .py program or the Excel spreadsheet and thesystem response plot for the class Canvas assignment.displacement relative to x,

Here is the code from scipy.integrate import odeint import matplotlib.pyplot as plt import numpy as…

1. The motion of a mass on a spring with a damper is given by the ordinary differential equation d?x dx + b-+ kx = 0 m dt2 dt • How the solution behaves depends on the relative value of the two parameters B = b/(2m) and w = k/m

1. The motion of a mass on a spring with a damper is given by the ordinary differential equation d?x dx + b-+ kx = 0 m dt2 dt • How the solution behaves depends on the relative value of the two parameters B = b/(2m) and w = k/m

C++ for Engineers and Scientists

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Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

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Problem 2PP: (Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one...

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Question

need to reproduce the 3 curves in the plot using python or excel

1. The motion of a mass on a spring with a damper is given by the ordinary
differential equation
d?x
dx
+ b
m
+ kx = 0
dt2
dt
How the solution behaves depends on the relative value of the two
parameters
B = b/(2m) and w = k/m
over damped
"critically damped
under damped
0.5
-0.5
time
Write a Python Program or an Excel file that recreates the plot above. Assume
that m, k, and Xo all have a value of 1. Then vary then find values for b that create
each of the three plots. Submit the .py program or the Excel spreadsheet and the
system response plot for the class Canvas assignment.
displacement relative to x,

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