Create a block diagram using SIMULINK and run the model for four different values of the dampening coefficient P: P = 0, 4, and 30 N s/m. Use a simulation time of 10 seconds and a maximum step size of 0.01 sec

Modeling & Analysis of Engineering Systems – SIMULINK Exercise 2 -Due Mon 11/20

You simply need to submit (hardcopy) what is asked for in bold below. You may

work with others but you must submit your own work under your own name.

(1) Consider the damped Spring-Mass system discussed in class:

The model for this system is:

Mx″ + Px′ + Kx = 0

Suppose the following parameters and initial conditions are specified:

M = 3 kg K = 40 N/m x(0) = -0.1 m x′(0) = 0

Create a block diagram using SIMULINK and run the model for four different values of

the dampening coefficient P: P = 0, 4, and 30 N s/m. Use a simulation time of 10

seconds and a maximum step size of 0.01 sec. Submit one block diagram (for the case

of P = 4) and three scopes, one for each value of P. Briefly analyze the results.

(2) You set up the block diagram for problem 6.7 on your homework and calculated (by hand) the ultimate positions of the masses. Now, simulate the system using

Simulink.

Submit a block diagram for the system. Submit a scope in which the

positions of each mass are plotted versus time on the same graph.

Estimate the ultimate positions of the two blocks from your graph and

compare them to your hand calculation from the homework.

Run the simulation for 10 sec with a max step size of 0.01 sec.