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dynamics question
Determine the differential equation of motion for the damped vibratory system shown. What type of motion occurs? Take \( k=10
Determine the differential equation of motion for the damped vibratory system shown. What type of motion occurs? Take \( k=100 \mathrm{~N} / \mathrm{m}, c=200 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}, m=25 \mathrm{~kg} \).


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solution: The equation of motion for a damped vibratory system is given by
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