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Given data:-Natural frequency, omega_(n)=125rad//secSersitivity, k=0.05v//mm{:[F(t)=A uu(t)],[A=75mm]:}{:[" damping ratio "(xi_(1))=0.15],[" Solution:- "T_(lambda)=(pi-theta)/(omega d)],[" where, "quad theta=cos^(-1)xi],[theta=cos^(-1)(0.15)],[theta=81.37]:}converting into radian{:[theta=81.37 xx(pi)/(180)],[theta=0.452 pi],[omega_(d)=omega_(n)sqrt(1-(epsi)^(2))],[omega_(d)=125sqrt(1-(0.15)^(2))],[T_(r)=(pi-0.452 pi)/(123.58)],[T_(r)=(0.548 pi)/(123.58)]:}For, xi=0.12{:[T_(r)=(pi-theta)/(omega d);t ... See the full answer