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Find the normal frequencies for the system of two carts

Chapter 11, Problem 11.3

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QUESTION:

Find the normal frequencies for the system of two carts and three springs shown in Figure 11.1, for arbitrary values of m1 and m2 and of k1, k2, and k3. Check that your answer is correct for the case that m1 = m2 and k1 = k2 = k3

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QUESTION:

Find the normal frequencies for the system of two carts and three springs shown in Figure 11.1, for arbitrary values of m1 and m2 and of k1, k2, and k3. Check that your answer is correct for the case that m1 = m2 and k1 = k2 = k3

ANSWER:

Step 1 of 4

Using the matrices  and  given in Eq. (11.5), we find

                   

 

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