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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

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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 displacement X1(t) and x2(t) of the respective masses from their equilibrium positions satisfy the equations =x,-2x +sin 21 x. =-2x2 +x! dt2 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) (a) Plot x1(t) and x2(t) using MATLAB or SCILAB (b) Please give comment on your plot (c) Compute X1(3D ) and X2(3D )

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