Analytical Mech Homework Solutions 180

Analytical Mech Homework Solutions 180 - 17 2 B m+M = 22 =...

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17 or… 2 2 2 2 B mM Ag am ω + == Setting , we have for the 2 1 A = nd mode … 2 it X e = and 2 e m sa θ + This mode corresponds to an oscillation about the CM where … () ( mMX m s m a ) += = The normal mode vectors are … 12 1 0 At A Q +  =  and 2 2 1 m Qe  = + 11.21 (a) We can solve for the normal modes using Equation 11.4.9 … ( ) 2 0 = KM a K and M are the potential energy and kinetic energy matrices respectively. a is a two- component vector whose elements are the amplitudes of the coordinates q . The kinetic energy in Example 11.3.2, assuming small displacements from equilibrium, are …
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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