Question: A positioning system is designed to have 1 5 % overshoot and a peak time of 2 s . Compute / find the following and

A positioning system is designed to have 15% overshoot and a peak time of 2 s . Compute/find the following and show your work:
a. Damping ratio
b. Classify the system as overdamped, critically damped, underdamped, or undamped
c. Natural frequency n
d. Decay rate d
e. Assume m=1kg and determine the damping coefficient c and spring constant k
A positioning system is designed to have 1 5 %

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