Practice Equation of Motion for External Force - 6.4.1 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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Knowledge

6.4.1 - Equation of Motion for External Force

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the equation of motion for an SDOF system under an external force?

💡 Hint: Refer to the key equation discussed.

Question 2

Easy

List the three components of an SDOF system.

💡 Hint: Remember the MCD acronym.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does F(t) represent in the equation of motion?

  • Inertia
  • External Force
  • Damping Coefficient

💡 Hint: Think about what force is applied externally.

Question 2

True or False: The equation of motion can be solved using Laplace Transforms.

  • True
  • False

💡 Hint: Consider the advantages of transforming differential equations.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

💡 Hint: Start by inserting the values into the equation to observe motion.

Question 2

Discuss how the equation of motion would change if the damping coefficient is increased significantly. What would this imply for the system's response?

💡 Hint: Consider the relationship between damping and oscillation behavior.

Challenge and get performance evaluation