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Question 4 In a mass-spring system where mass m = 1 kg, spring constant k = 2, and damping c = 0, the position of the mass x(t) can be modelled by the differential equation below: x" + 4x = F(t) F(t) is the external force applied to the mass and F(t) = {01 if-1

Question 4 In a mass-spring system where mass m = 1 kg, spring constant k = 2, and damping c = 0, the position of the mass x(t) can be modelled by the differential equation below: x" + 4x = F(t) F(t) is the external force applied to the mass and F(t) = {01 if-1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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Question 4 In a mass-spring system where mass m = 1 kg, spring constant k = 2, and damping c = 0, the position of the mass x(t) can be modelled by the differential equation below: x" + 4x = F(t) F(t) is the external force applied to the mass and F(t) = {01 if-1<t≤0 if 0<t<1 (a) Compute and plot the Fourier series of F(t) to verify your answer. (b) Hence find and sketch the steady period solution of x(t).
Transcribed Image Text:Question 4 In a mass-spring system where mass m = 1 kg, spring constant k = 2, and damping c = 0, the position of the mass x(t) can be modelled by the differential equation below: x" + 4x = F(t) F(t) is the external force applied to the mass and F(t) = {01 if-1<t≤0 if 0<t<1 (a) Compute and plot the Fourier series of F(t) to verify your answer. (b) Hence find and sketch the steady period solution of x(t).
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