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Problem 4 8 Let the system of Problem 4 7 be set in motion with...

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Problem 4 8 Let the system of Problem 4 7 be set in motion with the initial conditions x A y 0 x y 0 at t 0 Show that the normal mode amplitudes are Xo m M A and Yo A to yield and X where M m m Express these displacements as and A M m cos wit m cos w t y A mi M cos wit cos w2t 2A x 2 A cos wmt cos wat m m sin wmt sin wat M y 2A sin wmt sin wat my M where wm w2w 2 and wa w W 2 122 579

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