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+syms s T k
+T=k/(T*s^2+s+k)
+
+disp(sqrt(k/T)," omegaN = ")
+disp(1/(2*sqrt(k*T))," zeta = ")
+
+disp("in case1 we have k2=1/16*k1")
+disp("in case2 we have 4=T2/T1")
+
+disp("so T must be multiplied by 4 to reduce zeta from 0.6 to 0.3")