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In: Mechanical Engineering

ẍ+ 10ẋ + 50x = 2u̇ + 4u (a) Find the system’s transfer function (b) Plot...

ẍ+ 10ẋ + 50x = 2u̇ + 4u (a) Find the system’s transfer function (b) Plot poles and zeros on the s-plane (c) Provide the system’s time response from the poles of the transfer function (d) Is the system stable? Why or why not? (e) What type of system is it? (undamped, over damped, critically damped, underdamped, etc.?)

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