Consider a spring-mass system, with (k=4000 mathrm{~N} / mathrm{m}) and (m=10 mathrm{~kg}), subject to a harmonic force
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Consider a spring-mass system, with \(k=4000 \mathrm{~N} / \mathrm{m}\) and \(m=10 \mathrm{~kg}\), subject to a harmonic force \(F(t)=400 \cos 30 t \mathrm{~N}\). Find and plot the total response of the system under the following initial conditions:
a. \(x_{0}=0.1 \mathrm{~m}, \dot{x}_{0}=0\)
b. \(x_{0}=0, \dot{x}_{0}=10 \mathrm{~m} / \mathrm{s}\)
c. \(x_{0}=0.1 \mathrm{~m}, \dot{x}_{0}=10 \mathrm{~m} / \mathrm{s}\)
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