Question: Given the model 3x - (3b + 6) x + (6b + 15)x = 0 a. Find the values of the parameter b for which

Given the model
3ẍ - (3b + 6) ẋ + (6b + 15)x = 0
a. Find the values of the parameter b for which the system is
1. Stable.
2. Neutrally stable.
3. Unstable.
b. For the stable case, for what values of b is the system
1. Under damped?
2. Over damped?

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Divide the equation by 3 and obtain the characteristic equation s 2 b 2s 2b 5 0 ... View full answer

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