Practice Equation Of Motion For External Force (6.4.1) - Equations of Motion of SDOF System for Mass as well as Base Excitation

Practice: Equation of Motion for External Force

Lesson 6.4.1Equations of Motion of SDOF System for Mass as well as Base Excitation

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the equation of motion for an SDOF system under an external force?
Show hintHide hint
Refer to the key equation discussed.
Question 2.
List the three components of an SDOF system.
Show hintHide hint
Remember the MCD acronym.
3Question 3.
What does F(t) represent in the equation of motion?
- Inertia
- External Force
- Damping Coefficient
Show hintHide hint
Think about what force is applied externally.
4Question 4.
True or False: The equation of motion can be solved using Laplace Transforms.
- True
- False
Show hintHide hint
Consider the advantages of transforming differential equations.
Question 5.
Consider a building modeled as an SDOF system with a mass of 500 kg, a damping coefficient of 100 N.s/m, and stiffness of 2000 N/m. An external force of 300 N is applied. Write the equation of motion and solve for the response under this force using the methods discussed.
Show hintHide hint
Start by inserting the values into the equation to observe motion.
Question 6.
Discuss how the equation of motion would change if the damping coefficient is increased significantly. What would this imply for the system's response?
Show hintHide hint
Consider the relationship between damping and oscillation behavior.

5 more questions in this section. Enroll free to practise them all.