Vehicle Dynamics Homework #2 Question #1: Derive the governing equations for the vehicle model depicted below. By using the data given, find the natural frequencies and corresponding mode shapes. Question #2: If this vehicle is cruising at a speed of 20 km/h speed on a level road with harmonic profile, calculate the displacement response amplitudes that will be observed at CoG. Assume that the road profile has a 0.01 m amplitude and 10 m wavelength. Repeat the same analysis for the vehicle speed of 40 km/h. Vehicle Data Sprung mass: m = 720 kg me Yfe mb.p b b ks Mass moment of inertia of sprung mass: I = 640 kgm You mr Unsprung mass (Front and Rear): mf = m = 40 kg Stiffness coefficient of suspension (Front and Rear): ksf = ksr = 21000 N/m Damping coefficient of suspension (Front and Rear): Csf = Csr = 500 Ns/m Stiffness coefficient of tire (Front and Rear): ktf = ktr = 105035 N/m Distance between front axle and CoG: b = 1.5 m Distance between rear axle and CoG: b = 1.1 m Prepare your homework using a computer and upload your report as a pdf file to the online course management system.