Using the MATLAB Program 2.m, plot the free-vibration response of a viscously damped system with \(m=4 \mathrm{~kg}, k=2500 \mathrm{~N} / \mathrm{m}, x_{0}=100 \mathrm{~mm}, \dot{x}_{0}=-10 \mathrm{~m} / \mathrm{s}, \Delta t=0.01 \mathrm{~s}, n=50\) for the following values of the damping constant:

\(c=200 \mathrm{~N}-\mathrm{s} / \mathrm{m}\)

Data From Matlab Program:-

%ex1_21.m plot the function x(t) = At / tau A = 1; W = pi; tau = 2; for i 1: 101 t(i) tau (i-1)/100; end x(i) At(i) / tau; subplot (231); plot(t,x); ylabel('x(t)'); xlabel('t'); title('x(t) = A*t/tau'); for i=1: 101 end x1 (i) A 2; subplot (232); plot (t, x1); xlabel('t'); title('One term');