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Unformatted text preview: guide with negligible friction. The unstretched length of each spring is L o and it is assumed that h > L o . Derive the equation of motion for the system in terms of m , k (the stiﬀness of each spring), x , h , and L o . L o h x(t) unstretched spring length h horizontal guide Figure 2: Single degree of freedom mass spring system. 3. Plot the transient response of a system governed by equation (1). Use the following parameters and initial conditions ( ζ = 0 . 05, ω n = 20, x (0) = 3 meters, ˙ x (0) = 1 meters/s). ¨ x ( t ) + 2 ζω n ˙ x ( t ) + ω 2 n x ( t ) = 0 (1) 2...
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- Spring '08
- Natural Frequency, 1 meters, Lo, following problems, 3 meters, Transient response