A mass$-$ spring$-$ damper system is subjected to the periodic force shown. The mass of the system is $m=10kg,$ the constant of the spring is $10000\frac{N}{m}$ and the constant of the damper is $500N\frac{s}{m}.$ The period of the force is $=1sec,$ and the amplitude $A=10N$

If the Fourier transform approximation is given by:

$f(t)=\frac{A}{2}-\frac{A}{}{\displaystyle \underset{j=1}{\overset{}{}}}(\frac{1}{j}sin(\frac{2j}{}t))$

Therefore, the expansion considering four terms is given by:

$f(t)=\frac{A}{2}-\frac{A}{}sin(\frac{2}{}t)-\frac{A}{2}sin(\frac{4}{}t)-\frac{A}{3}sin(\frac{6}{}t)$

What is the maximum amplitude of the response corresponding to the Third term of the Fourier approximation? Justify your answer.