Derive expressions for the ratios \(\frac{\dot{X}}{e \varepsilon \omega_{n}}\) and \(\frac{\ddot{X}}{e \varepsilon \omega_{n}^{2}}\) in terms of \(r\) and \(\zeta\) for an eccentrically excited damped single-degree-of-freedom system. Here \(\dot{X}\) and \(\ddot{X}\) denote the amplitudes of velocity and acceleration of the response of the machine (main mass), respectively.