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For each of the problems below, please derive the equation of motion that describes the dynamic behavior of each system. In your calculations, please

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For each of the problems below, please derive the equation of motion that describes the dynamic behavior of each system. In your calculations, please do the following: Please indicate the number of degree of freedoms that are present in each problem Please explicitly state the assumptions that are used for each problem. Please explicitly state which law of Newton is used to derive the equation of motion Please include a Free Body Diagram of the System If the problem contains more than one degree of freedom, please leave the final answer in matrix form. Section 1: 1. X k2 k1 m C1

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