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# HW3 - ME 375 HOMEWORK#3 Spring 2009 Out Due February 4...

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ME 375 HOMEWORK #3 Spring 2009 Out: January 28, 2009 Due: February 4, 2009 (at the beginning of class) PROBLEM 1: (30%) In Homework #2, Problem 3, you were asked to determine equations of motion for the following system: The resulting equations of motion, expressed using effective inertia, damping, and stiffness, can be written as follows: 11 1 1 1 1 1 1 11 20 + +− = ++ = ±± ± ± eff eff eff JBKK R x Mx Bx Kx KR θ θθ τ where 22 2 12 3 1 23 21 2 =+ + + + eff r eff eff RR JJ J J M R BC C C KK R K R (a) Express the equations of motion in matrix form, using [ ] T x as the coordinate vector. (b) Write an input-output equation for this system, with 1 as the input, and x 1 as the output.

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2 PROBLEM 2 : (40%) (a) Ogata, Prob. B-2-22, p. 52. (b) Ogata, Prob. B-2-24, p. 52. PROBLEM 3: (30%) In Homework #1, Problem 2, you were asked to derive equations of motion for a pile driver.
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HW3 - ME 375 HOMEWORK#3 Spring 2009 Out Due February 4...

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