pset6sol - ME3015 PROBLEM SET#6(25 points Solutions 1(6...

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Unformatted text preview: ME3015 PROBLEM SET #6 (25 points). Solutions 1. (6 points) (a) Find the natural frequencies for the system below where m1=1[kg], m2=1[kg], k=20 [N/m], a=1[m], L=3[m]. Assume a small angle of motion. DEOM: ) ( ) ( 2 2 2 1 2 2 2 2 2 2 1 1 2 1 2 1 gl m ka ka l m ka gl m ka l m Assume harmonic motion: t B t A sin , sin 2 1 . We have sin ) ( sin ) ( 2 2 2 2 2 2 2 1 2 2 2 1 t B gl m ka A ka B l m t B ka A gl m ka A l m 2 2 2 2 2 2 2 1 2 2 2 1 B A gl m ka l m ka ka gl m ka l m Calculate the eigenvalues of the system. Insert the variables. 43 . 49 9 20 20 43 . 49 9 43 . 49 9 20 20 43 . 49 9 2 2 2 2...
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This note was uploaded on 02/08/2012 for the course ME 3015 taught by Professor Ueda during the Fall '08 term at Georgia Tech.

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pset6sol - ME3015 PROBLEM SET#6(25 points Solutions 1(6...

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