Problem 1 (15 points): Obtain the state-space representation of the following mechanical system where input is...

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Problem 1 (15 points): Obtain the state-space representation of the following mechanical system where input is f (force) and outputs are X1 and X2. Note that X2 is the relative displacement between two masses. (HINT: mx is NOT acceleration of mass 2 (common mistake)) x2 X 1 k m2 m 1 f b Problem 1 (15 points): Obtain the state-space representation of the following mechanical system where input is f (force) and outputs are X1 and X2. Note that X2 is the relative displacement between two masses. (HINT: mx is NOT acceleration of mass 2 (common mistake)) x2 X 1 k m2 m 1 f b