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In this question we have to determine the transfer function of the given system and we also have to convert it into state space representation. Lets start,What is Transfer function ?A Transfer function is a way to represent a linear, time invariant system in terms of its input output relationship. It is the ratio of Laplace transformation of output to the Laplace transformation input. When all the initial conditions are assumed to be zero.What is a Damper ?A Damper is a device used to absorb vibration emanating from machinery and any other mechanism and also reduce the noise associated with such vibrations.