You are designing a spring-damper vibration isolation system for a microscope (shown). Wn is a natural frequency of the corresponding system. w is a frequency of disturbance coming from the table. To provide the maximum isolation for the microscope you will pick the isolation system design as follows: - > v2, and max damping Wn < V2, and max damping Wn 1, and no damping wn -> V2, and no damping Wn

1 Free Vibration Response of Single Degree of Freedom System(100 %) Figure 1 represent a simple vibration system. The free vibration response of an undamped single degree of freedom (SDOF) oscillator is given by its displacement x(t) satisfying x(t) = x(0)sin*(wt)e-2dwt + v(0) (1) -cos(wt)e-10dwt %3D where t is time in seconds and w = Vis the natural frequency of the system with m and k being the mass and the stiffness of the system. d is the damping coefficient of the system. Define v(t) and a(t) as the time dependent velocity and acceleration of the system. Write an M-file script using functions that will compute and plot 1. The displacement of the system x(t) over time 2. The velocity of the system v(t) over time 3. The acceleration of the system a(t) over time for three damping coefficients (d = 0,1,5) within a time interval 0 < t < 10 s. You will need THREE(3) functions, one for each displacement, velocity and acceleration calculations. Assume m = 10, k = 1 and that r(0) = v(0) =…

parts A & B - SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) for both

Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration