Answer Happy

Imagine that you are working with a NASCAR team to design coilover shocks for a race car. Given the minimum allowed car+driver weight, you have modeled each shock as a spring-mass system with a mass of 175 kg (one quarter of the shared weight) with spring constant of 30,000 N/m. Rewrite the spring-mass model as a first order system. For each type below, do the following: *Choose a value for the damping coefficient b of the inner shock fluid, *Graph your solution: phase plane and x vs t (pplane.jar/Bluffton) given the initial condition x(0)=0, x'(0)=1 *Write down the coefficient matrix (since the system is linear) and determine its eigenvalues. Do they match the exponential roots? *Make a list of pros and cons for the driver's experience while racing with this kind of damping. 1) Significantly Overdamped 2) Slightly Overdamped 3) Critically Damped 4) Slightly Underdamped (so that b^2>2mk) 5) Significantly Underdamped (so that b^2<2mk) 6) (Nearly) Undamped Then, select the best type for NASCAR racing.