Halliday, Resnick & Walker — Oscillations: Problem 30

30 Figure 15-30a is a partial graph of the position function \(x(t)\) for a simple harmonic oscillator with an angular frequency of \(1.00 \text{ rad/s}\); Fig. 15-30b is a partial graph of the corresponding velocity function \(v(t)\). The vertical axis scales are set by \(x_s = 5.00 \text{ cm}\) and \(v_s = 10.0 \text{ cm/s}\). What is the phase constant of the SHM if the position function \(x(t)\) is in the general form \(x = x_m \cos(\omega t + \phi)\)?