Answered: you are given the mass, damping, and…

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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Question

you are given the mass, damping, and
spring constants of an undriven spring-mass system
my'' + μy + ky = 0.
You are also given initial conditions. Use a numerical solver
to
(i) provide separate plots of the position versus time (y vs.
t) and the velocity versus time (v vs. t),
(ii) provide a combined plot of both position and velocity versus time, and
(iii) provide a plot of the velocity versus position (v vs. y) in
the yv phase plane.

a. m = 1 kg, μ = 0 kg/s, k = 9 kg/s2, y(0) = 3 m,
y'(0) = 2 m/s

b.m = 4 kg, μ = 4 kg/s, k = 1 kg/s2, y(0) = 3 m,
y'(0) = 1 m/s

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