A viscously-damped single degree of freedom system consists of a mass of 6 kg and a spring with stiffness
5400(N)/(m)
. The ratio of the first to second peak of the free response of that system is 3/2. a. Determine the logarithmic decrement
\delta
b. What is the ratio of the fifth to seventh peak of the free response? c. Determine the exact value of the damping ratio
\zeta
. d. Determine the damping coefficient. e. Assuming small damping, recalculate the damping ratio and estimate the percentage error with the exact answer in part b.