Please code in Python P1) The motion of a damped spring-mass system is described by the following ordinary differentialequation:md²x dx+c +kx=0dt²dtm = 20 kgwhere x = displacement from equilibrium position (m), t = time (s), c = damping coefficient (N⚫s/m). Thedamping coefficient, c, takes on three values of 5 (underdamped), 40 (critically damped), and 200(overdamped). The spring constant is 20 N/m. The initial velocity is zero, and the initial displacement isx = 1 m. Solve this equation using the numerical method we have learned in class over the period of timefrom 0 to 15 s. Plot the displacement versus time for the three cases of the damping coefficient on thesame plot.m

First, let's go through the given equation that describes the motion of a damped spring-mass system:…

Answered: P1) The motion of a damped spring-mass…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The 8kg body is moved to the right of the equilibrium position and released from rest at time t = 0. The viscous damping coefficient is 23NS/m and the spring stiffness, K is 38N/m. Determine the damping factor (ratio) of the system. Note: Give your answer to 3 decimal places. Other Parameters: Logarithmic Decrement (8): Answer: 2ng 2T C 8 = In = In1 = 5 wnTd = 5wn X2 Xn+1 1-5 wa 2m k Damping Ratio (5): 5= 2vkm 2mn V(21)2+8 Frequency of damped vibration (wa): wa = 1-Wn Undamped Forced Vibration: Frequency Ratio (): r- Xp-x sin w t Next page Hous page Type here to search
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