4. A chassis dynamometer is used to study the unsprung mass of an automobile as illustrated in the following figure. Compute the maximum magnitude of the center of the wheel due to an impulse of 5000 N applied over 0.01 seconds in the x direction. Assume the wheel mass is m = 15 kg, the spring stiffness is k= 500,000 N/m, the shock absorber provides a damping ratio of = 0.3, and the rotational inertia is J = 2.323 kg m2. Assume the dynamometer is controlled such that x = re.