1. A spring mass system serving as a shock absorber under a car's suspension, supports theM = 1000 kg mass of the car. For this shock absorber,k = 1 × 10°N /m and c = 2× 10³ N s/m. The car drives over a corrugated road with forceF = 2× 10° sin(@t) N.Use your notes to model the second order differential equation suited to thisapplication. Simplify the equation with the coefficient of x'' as one. Solve x (the general solution) interms of w using the complimentary and particular solution method. In determining the coefficients ofyour particular solution, it will be required that you assume w? – 1x w or 1 - o? z -w. Do notuse Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w.You must indicate in your solution:1. The simplified differential equation in terms of the displacement x you will be solving2. The m equation and complimentary solution x.3. The choice for the particular solution and the actual particular solution x,4. Express the solution x as a piecewise function in terms of w

Mass of the car , m=1000 Kg The spring constant, k=1000 N/m The coefficient of damping, c=2000 Ns/m…

Answered: 1. A spring mass system serving as a…

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