(Solved): Develop Mathematical Model of the electro-mechanical system shown in the figure below. Also find t ...

Develop Mathematical Model of the electro-mechanical system shown in the figure below. Also find the transfer function \( \frac{X(s)}{E i(s)} \) for the system, where \( \mathbf{e}_{\mathbf{i}}(\mathrm{t}) \) is input voltage while \( \mathbf{x}(\mathbf{t}) \) is the output displacement.