Consider a half-car model shown in Figure 5.127, in which \(I_{C}\) is the mass moment of inertia of the car body about the pitch axis, \(m_{\mathrm{b}}\) is the mass of the car body, \(m_{\mathrm{f}}\) is the mass of the front wheel-tire-axle assembly, and \(m_{\mathrm{r}}\) is the mass of the rear wheel-tire-axle assembly. Each of the front and rear wheel-tire-axle assemblies is represented by a mass-spring-damper system. The input is the force \(f\), and the car undergoes vertical and pitch motion. Derive the equations of motion by using the force/moment approach.

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