hwk03 - ME563 Fall 2011 Purdue University West Lafayette,...

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Unformatted text preview: ME563 Fall 2011 Purdue University West Lafayette, IN Homework Set No. 3 Assignment date : Friday, September 9 Due date : Friday, September 16 Please attach this cover sheet to your completed homework assignment. Name PUID _________________________________________ Problem 3.1 __________________ Problem 3.2 __________________ Problem 3.3 __________________ TOTAL __________________ ME 563 Fall 2011 Homework Prob. 3.1 For the two-DOF system shown below, the springs are unstretched when x = = . a) Use the Newton-Euler equations to develop the EOMs for this system using the generalized coordinates of x and . b) Use Lagranges equations to develop the EOMs for this system using the generalized coordinates of x and . c) Compare the mass, damping and stiffness matrices found in a) and b) above. Are they the same? Which formulation, if either, produces symmetric matrices? k x smooth no slip R k G A ME 563 Fall 2011 Homework Prob. 3.1 For the two-DOF system shown below, the springs are unstretched when...
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hwk03 - ME563 Fall 2011 Purdue University West Lafayette,...

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