Chapter 8, Problem 40P

The phase angle $\varphi$ between the forced vibration caused by the rough road and the motion of the car is given by

$\text{tan }\varphi =\frac{2\left(c/c_c\right)\left(\omega /p\right)}{1-{\left(\omega /p\right)}^2}$

As a mechanical engineer, you would like to know if there are cases where $\varphi =\omega /2-1$. Use the other parameters from the section to set up the equation as a roots problem and solve for $\omega$.