By denoting the amplitudes of velocity and acceleration of the mass of a viscously damped system subjected to a harmonic force, as \(\dot{X}\) and \(\ddot{X}\), respectively, find expressions for the ratios \(\frac{\dot{X}}{F_{0} / \sqrt{k m}}\) and \(\frac{\ddot{X}}{F_{0} / m}\) in terms of \(r\) and \(\zeta\). The nondimensional ratios \(\frac{\dot{X}}{F_{0} / \sqrt{k m}}\) and \(\frac{\ddot{X}}{F_{0} / m}\) are called the velocity and acceleration frequency responses of the system, respectively.