ps03 - K m = 0 . 5 N m / A, K v = 0 . 5 V sec, J m = 0 . 1...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering 2.004 Dynamics and Control II Fall 2007 Problem Set #3 Posted: Friday, Sept. 21, ’07 Due: Friday, Sept. 28, ’07 1. A second–order system has the step response shown below. 1 Determine its trans- fer function. 0 0.5 1 1.5 2 0 0.5 1 1.5 2 t [sec] f(t) [a.u.] 2. Consider again the system of a DC motor with a parallel current source connected via a gear pair to an inertia that we saw in Problem 5 of PS02. Substituting numerical values i s =1 . 0 u ( t )A, R =5Ω
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Unformatted text preview: K m = 0 . 5 N m / A, K v = 0 . 5 V sec, J m = 0 . 1 kg m 2 , ( N 2 /N 1 ) = 10, J = 6 kg m 2 , K = 1 N m / rad, derive and plot the step response for the following two cases: a) b = 9 . 4 N m sec / rad; b) b = 0 . 76 N m sec / rad. 3. Problem 8 from Nise textbook, Chapter 4 (page 234). 1 a.u. denotes arbitrary units; its use appropriate when we consider a function that does not correspond to any particular physical quantity. 1...
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