A car has the following parameters:
$M = 1008 \text{ kg}, I_\psi = 1031 \text{ kg} \cdot \text{m}^2, l_f = 1.2 \text{ m}, l_r = 1 \text{ m}, C_f = 117 \text{ kN/rad}, C_r = 145 \text{ kN/rad}$. Determine the:
\begin{itemize}
\item understeer gradient & the steering characteristic,
\item damping factor & behaviour.
\end{itemize}
If $V_c = 10 \text{ m/s}$ & the steady state lateral acceleration, $a_y = 0.5g$; determine the:
\begin{itemize}
\item cornering radius,
\item the front wheel steering angle, $\delta$ required,
\item the critical/characteristic speed of the vehicle,
\item the nose-out/nose-in behaviour of the vehicle.
\end{itemize}
[***You need to demonstrate all relevant steps to claim for marks]
