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    I have a differential system that models the vibrations in a system.

    I have written the following as my discussion of the dynamical behaviour:

    "In this system the normal mode frequencies are w_1=5/( 2π) and w_2=5/π we can see from this that w_1 is twice the size of w_2 and so the second vibrates with twice the frequency, therefore they do not vibrate ‘in step’. Also our Normal modes of vibration are [4,-3] and [3,4] as these are our eigenvectors."

    but i'm not sure where to go from here, I know that the eigenvectors are my normal modes of vibration but i'm not sure how to compare the two like I have for the normal mode frequencies.

    Any help would be greatly appreciated.

    Thanks
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    I don't know much about the normal mode frequencies, but, isn't  w_1 half the size of  w_2 , as if it was double then wouldn't you have  w_2 = \frac{5}{\pi} and  w_1 = 2 \times \frac{5}{\pi} = \frac{10}{\pi} ?
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    (Original post by claret_n_blue)
    I don't know much about the normal mode frequencies, but, isn't  w_1 half the size of  w_2 , as if it was double then wouldn't you have  w_2 = \frac{5}{\pi} and  w_1 = 2 \times \frac{5}{\pi} = \frac{10}{\pi} ?
    Yes, I wrote it down wrong, it should say w_2 is twice w_1.
 
 
 
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