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Determine the system impulse response in time domain and

Physical system modeling, time response and stability

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1. Find the differential equations relating input force f(t) and output displacement x₁(t) and x₂(t) in the system.

(Hint: K, f_v and M are spring constant, friction coefficient and mass respectively)

2. Determine the transfer function G(s)=X₁(s)/F(s). For the following suppose G(s) = 3 x s+ 13/(s + 1.4)(s² + 2s + 1.49)

3. Determine the system impulse response in time domain.

4. Draw its root locus and comment on system stability.

5. If the system can be simplified using the system dominant pole technique into G₁(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time.

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Electrical Engineering: Determine the system impulse response in time domain and

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