MEM423Sp07-08_Ex1_soln

MEM423Sp07-08_Ex1_soln - MEM 423: Mechanics of Vibrations _...

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P A x(t) x e (t) MEM 423: Mechanics of Vibrations _______________________________________________________________________ Mid-term Examination I Spring 2007-08 Allotted time: 1hr. 30 min. _______________________________________________________________________ Problem I: (50%) The model for this double pendulum is given below. Using that model determine the natural frequencies and the associated modal vectors for the case
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Problem 2: (50%) For the pulley system shown below, (the pulley rotates about the fixed pivot and the mass moves left and right. There is no vertical motion of the pulley and the mass.) a. determine the number of degrees of freedom. b. develop an equivalent system with respect to the coordinate x shown. c. determine the natural undamped frequency of oscillation of the mass. d. include the effect of the displacement of the right end of the spring, denoted by x e (t) (positive toward right,) in your model. e.
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This note was uploaded on 01/23/2009 for the course MEM 423 taught by Professor Yousuff during the Summer '07 term at Drexel.

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MEM423Sp07-08_Ex1_soln - MEM 423: Mechanics of Vibrations _...

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