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MCS- Lab Sessions 03 Solved

Question 1:

Obtain the state space representation for the system shown below. Solve the resulting state equations using MATLAB ode45 function (write complete script). Plot the position xa(t) and velocity va(t) for Mass M1 and position xb(t) and velocity vb(t) for Mass M2 of the system with respect to time for t = 0 to 400 sec considering the following cases and write in your words about what you observed by looking at different plots. (Attach plot under each case).

[Use separate A4 sheets for plots and attach it with this document]

Case 1: M2 = M1 = 750

B1 = B2 = 20

K1 = K2 = 15 B3 = 30 f = 300

Case 2:

Change the value of M1 from 50 to 650 with a step size of 200 and record your observation. Attach  all the plots while changing values of M1. Keep other parameters to be same as in Case 1.

Case 3:

Change the value of M2 from 50 to 650 with a step size of 200 and record your observation. Attach  all the plots while changing values of M2. Keep other parameters to be same as in Case 1.

Case 4:

Change the value of B1 from 5 to 20 with a step size of 5 and record your observation. Attach  all the plots while changing values of B1. Keep other parameters to be same as in Case 1.

Case 5:

Change the value of B2 from 5 to 20 with a step size of 5 and record your observation. Attach  all the plots while changing values of B2. Keep other parameters to be same as in Case 1.

Case 6:

Change the value of B3 from 10 to 30 with a step size of 10 and record your observation. Attach  all the plots while changing values of B3. Keep other parameters to be same as in Case 1

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