• # question_answer If a spring-mass-dashpot system is subjected to excitation by a constant harmonic force, then at resonance, its amplitude of vibration will be: A) InfinityB) Inversely proportional to dampingC) Directly proportional to dampingD) Decreasing exponentially with time

$X=\frac{{{x}_{st}}}{\sqrt{(1-{{\beta }^{2}})}+{{(2\zeta \beta )}^{2}}}$ For $\beta \,\,=\,\,1,$ $X=\frac{{{x}_{st}}}{2\zeta }\propto \frac{1}{\zeta }$