For the system shown in the figure

a) determine the equation of motion of the equivalent linear system (at the mass "m" location)

b) find the natural frequencies (wn and wa).

c) the frequency ratio r.

d) obtain the term X/ost using the graph (state the used points on the graph).

Take: k=(1000+Z) N/m, where Z is the last digit of your PMU ID no. m=10 kg, c=380 N s/m, r1=0.2 m, r2=0.4 m. Jpulley = 1.0 kg m², forced vibration w=12 rad/sec