Using the Simulink model that you created, select the damping coefficient(s) that will cause the maximum deflection of the spring in Task 1 to be less than 220 mm. There may be more than one correct answer.

Assume that  kg,  N/m and  m.

Using the Simulink model that you created for Task 1, select the damping coefficient and initial height of the mass that produces the velocity profile shown below.

Assume that  kg and  N/m.

The plots (A to F) represent the response of the mass in Task 1, , for different damping values when  kg, N/m and =1.5 m.

Using the Simulink model that you created, select the plots that describes the response of the mass for each of the following damping values:

Please upload your Simulink model files that you used to complete MATLAB Assignment 1.  Only upload two .slx files, one for each of the tasks in assignment.

Please name your files according to the following convention:

<task number>_<student number>.slx

e.g.: task1_12345678.slx

As in Question 3, we are interested in the forced vibrations of a single degree of freedom.

Select the vibration response (A - J) that best matches each of the following descriptions:

The single degree of freedom system in the figure below is subjected to forced vibrations to better understand its dynamic behaviour. 

Match one of the forced vibration responses (A - J) to each of the following forcing functions and damping values.

Assume that 1000 kg,  N/m,  m and  m/s.

As in Question 1, assume that a mass  is connected to a wall by a spring with stiffness  and viscous damper with damping coefficient , and slides on a surface with friction coefficient .

Select all the possible combinations of viscous damping and friction that will result in a response with the following characteristics:

• The maximum positive displacement of the mass is less than 0.04 m.
• The maximum negative displacement of the mass is less than -0.08 m (i.e. the maximum negative displacement of the mass is between -0.08 m and 0 m).
• The mass stops oscillating before 1 s.

Assume that  kg,  N/m,  m,  m/s.

Suppose that you want to understand the behaviour of the single degree of freedom system shown in the figure below.  A mass is connected to a wall by a spring with stiffness  and a viscous damper with damping coefficient , and slides on a surface with friction coefficient .

The system is subjected to some initial conditions and you want to determine the maximum positive displacement (), the maximum negative displacement () and the approximate time when the mass stops oscillating () - see the figure below.

Select the correct values for ,  and , given the following system parameters and initial conditions:   kg,  N/m,  Ns/m,  = 0.05,  m,  m/s. Assume  m/s².

Which diagram(s) describe the following system's mode shapes?

Watter diagram(me) beskryf die onderstaande sisteem se modevorms?