Consider a spring-mass system, with k = 4000 N/m and m = 10 kg, subject to a harmonicforce F(t) = 400 cos 101 N. Find and plot the total response of the system under the follow-ing initial conditions: \text { a. } x_{0}=0.1 \mathrm{~m}, \dot{x}_{0}=0 \text { b. } x_{0}=0, \dot{x}_{0}=10 \mathrm{~m} / \mathrm{s} \text { c. } x_{0}=0.1 \mathrm{~m}, \dot{x}_{0}=10 \mathrm{~m} / \mathrm{s}

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