Halliday, Resnick & Walker — Oscillations: Problem 11

11 For Eq. 15-45, suppose the amplitude \( x_m \) is given by \[ x_m = \frac{F_m}{[m^2(\omega_d^2 - \omega^2)^2 + b^2\omega_d^2]^{1/2}}, \] where \( F_m \) is the (constant) amplitude of the external oscillating force exerted on the spring by the rigid support in Fig. 15-16. At resonance, what are the (a) amplitude and (b) velocity amplitude of the oscillating object?