Question $1.$

For the systems shown below calculate the response parameters asked for.

For the systems we have $=1rad{s}^{-1}$;$,m=20kg$;$k=500N{m}^{-1}$;$,c=75Ns{m}^{-1}$;$,F_o=$

$5$ N $.$

Considering only the steady state solution, find

the natural frequency of the system,

the amplitude,

the phase difference,

the damping ratio

a$)$

$[$Answer: $5$ rads ${?}^{-1}$

b$)0\mathrm{.}01$ m

c$)8\mathrm{.}9$

d$)=0\mathrm{.}375$