MT-1620 a.2002 Go back to equation (22-4)and divide through by A2 421「41 k Normalized constant k for o. mode k+k2-0n2m1 Thus the eigenvectors are k 2 k k2-02m 2)|k+k2-m2mn1 For the case of Initial Conditions of 0, the cos term goes away and are left with sin w. t Physically the modes are Paul A. Lagace @2001 Unit 22-8        MIT - 16.20 Fall, 2002 Go back to equation (22-4) and divide through by A2: (k1 + k2 ) − ωr 2 m1 −k2   A1      = 0  −k2 k2 − ωr 2 m2   1  Normalized constant k ⇒ A1 = k1 + k2 2 − ωr 2 m1 for ωr mode Thus the eigenvectors are:  k2   k2  1 k1 + k2 − ω12 m1  φ() k1 + k2 − ω22 2 m1  φi () =   i =   ~ ~      1   1  For the case of Initial Conditions of 0, the cos term goes away and are left with… r q t() = φ() sin ωr t ~ ~ Physically the modes are: Paul A. Lagace © 2001 Unit 22 - 8