1) Sec. 4.2,P.8 : Find the total response of a viscously damped single degree of freedom system subjected to a harmonic base excitation for the following data: m=10 \mathrm{~kg}, \quad

c=20 \mathrm{~N}-\mathrm{m} / \mathrm{s}, \quad k=4000 \mathrm{~N} / \mathrm{m} y(t)=0.05 \sin 5 t \mathrm{~m}, \quad x_{0}=0.02 \mathrm{~m}, \quad \dot{x}_{0}=10 \mathrm{~m} / \mathrm{s}