1. A spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass of the car. For this shock absorber, k = 1 x 10°N/m and c = 2 x 10³ N s/m. The car drives over a corrugated road with force F = 2× 10° sin(@t) N. Use your notes to model the second order differential equation suited to this application. Simplify the equation with the coefficient of x'' as one. Solve x (the general solution) in terms of w using the complimentary and particular solution method. In determining the coefficients of your particular solution, it will be required that you assume w? – 1x w or 1- w? - -w. Do not use Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w.

1. A spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass of the car. For this shock absorber, k = 1 x 10°N/m and c = 2 x 10³ N s/m. The car drives over a corrugated road with force F = 2× 10° sin(@t) N. Use your notes to model the second order differential equation suited to this application. Simplify the equation with the coefficient of x'' as one. Solve x (the general solution) in terms of w using the complimentary and particular solution method. In determining the coefficients of your particular solution, it will be required that you assume w? – 1x w or 1- w? - -w. Do not use Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w.