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Create matlab script file for the following challenge problem, please show code with comments and figures ! Challenge 3: Spring-mass system (t) k, *1 Consider

Create matlab script file for the following challenge problem, please show code with comments and figures !

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Challenge 3: Spring-mass system (t) k, *1 Consider the spring-mass system in the above figure. The two masses move on a frictionless surface under the influence of external forces F(t) and F(t). They are constrained by the three springs whose constants are k, k2 and k, respectively. Use the coordinate system where x -0 corresponds to the equilibrium state of the mass and spring system, and x being positive corresponds to the right of equilibrium. Applying Newton's law to masses mi and m-2 results in the following equations for the positions xi and xi of the two masses: mix," =-(ki + k)x, + kaX2 + F, (t) (4) where the double prime " denotes the second derivative of the position with respect to time t. Challenge 3: Spring-mass system (t) k, *1 Consider the spring-mass system in the above figure. The two masses move on a frictionless surface under the influence of external forces F(t) and F(t). They are constrained by the three springs whose constants are k, k2 and k, respectively. Use the coordinate system where x -0 corresponds to the equilibrium state of the mass and spring system, and x being positive corresponds to the right of equilibrium. Applying Newton's law to masses mi and m-2 results in the following equations for the positions xi and xi of the two masses: mix," =-(ki + k)x, + kaX2 + F, (t) (4) where the double prime " denotes the second derivative of the position with respect to time t

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