A system consists of two unit masses lying in a straight line on a smooth surface and
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A system consists of two unit masses lying in a straight line on a smooth surface and connected together to two fixed points by three springs. When a sinusoidal force is applied to the system, the displacements x1(t) and x2(t) of the respective masses from their equilibrium positions satisfy the equations
Given that the system is initially at rest in the equilibrium position (x1 = x2 = 0), use the Laplace transform method to solve the equations for x1(t) and x2(t).
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