9.7. Numerical Example

Try these first

1. 1.

   What is the mass of the system in this example?

   Hint

   Check parameter values given in the example.

2. 2.

   What represents the damping ratio in the case?

   Hint

   Recall how the damping ratio is calculated.

3. 3.

   What is the mass of the system in the numerical example?

   • 0.5 kg
   • 1 kg
   • 2 kg

   Hint

   Refer to the initial parameters specified.

4. 4.

   The damping ratio ζ is equal to 0.25. True or False?

   • True
   • False

   Hint

   Think back to how we calculated that value.

5. 5.

   Consider a system where m=2kg, c=0.5N·s/m, and k=8N/m. Calculate the impulse response function.

   Hint

   Follow the structure and substitute values appropriately.

6. 6.

   If the system's damping ratio increases to 0.5, how does that affect the impulse response function? Illustrate the impact on amplitude and frequency.

   Hint

   Consider rewriting the formula according to the new value of ζ.