2) Calculate the response of the damped spring and mass system under the specified loading conditions. Use the constant average acceleration method and a time increment, Δt, of 0.005 sec. Assume that the system is initially at rest. Calculate the response of the system for damping factors, c, equal to 0.05c_cr, 0.10c_cr, and 0.20c_cr. k = 375 lb/in. m = 0.15 lb-sec^2/in. Plot the displacement histories for each during the time interval between 0 and 0.8 sec. Discuss the influence of the damping factor on the maximum displacement.