30. Dual mass-spring system Derive the equations $m_1x_1'' = -(k_1 + k_2)x_1 + k_2x_2$, $m_2x_2'' = k_2x_1 - (k_2 + k_3)x_2$ for the displacements (from equilibrium) of the two masses shown in Fig. 4.1.11. Figure 4.1.11 The system of Problem 30.
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The first mass is connected to a wall or fixed point with spring \(k_1\), to the second mass with spring \(k_2\), and the second mass is further connected to another wall or fixed point with spring \(k_3\). The displacements of \(m_1\) and \(m_2\) from their Show more…
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