(Solved): The equation of motion of a single degree-of-freedom (SDOF) base excitation system is given by (as ...

The equation of motion of a single degree-of-freedom (SDOF) base excitation system is given by (assume the units are Newtons) \[ 15 \ddot{x}(t)+55 \dot{x}(t)+2250 x(t)=c \omega_{b} Y \cos \left(\omega_{b} t\right)+k Y \sin \left(\omega_{b} t\right) \] The amplitude of the base motion is given as \( \underline{0.040 \mathrm{~m}} \) and the base oscillation frequency is \( 1.932 \mathrm{~Hz} \). 1. Calculate the frequency ratio of the system 2. Calculate the value of the amplitude of the steady-state response of the system 3. Calculate the amplitude of the force subjected to the system 4. Calculate the amplitude of the force transmitted through the base of the system 5. Discuss motion amplification