ps04 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering 2.004 Dynamics and Control II Fall 2007 Problem Set #4 Posted: Friday, Sept. 28, ’07 Due: Friday, Oct. 5, ’07 1. (a) Problem 21(a) from Nise textbook, Chapter 2 (page 113). (b) After you find the transfer function, locate the zeros and poles, draw them on the s –plane, and determine the type of the response of the system (undamped, underdamped, critically damped, or overdamped). 2. Problem 25 from Nise textbook, Chapter 4 (page 236). 3. Derive the transfer function of the electrical network shown below with the source voltage v s ( t ) as input and the voltage v c ( t ) across the capacitor as output, where R 2 = 10Ω, L = 1 mH, C = 10 μ F and i) R 1 = 5Ω; ii) R 1 = 100Ω. C R 1 R 2 v s +- v c +- L For each case, a) locate the zeros and poles and draw them on the s –plane; b) determine the type of the response (undamped, underdamped, critically damped, or overdamped); c) if you find that the system is underdamped...
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ps04 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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