Practice Role of Initial Conditions in SDOF Response - 6.14 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

6.14 - Role of Initial Conditions in SDOF Response

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the two main components of initial conditions?

💡 Hint: Think about what defines the starting point of motion.

Question 2

Easy

Define homogeneous response in your own words.

💡 Hint: Focus on free motion versus forced motion.

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 is the role of initial conditions in SDOF response?

💡 Hint: Consider how motion begins and evolves.

Question 2

True or False: Initial conditions can always be assumed to be zero in earthquake engineering.

  • True
  • False

💡 Hint: Reflect on aftershocks and their impact.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

An SDOF system has a mass of 10 kg, a stiffness of 2000 N/m, and initial displacement of 0.1 m with a velocity of 2 m/s. Derive the equations governing this system's motion over time.

💡 Hint: Use differential equations to represent the motion and apply initial conditions directly.

Question 2

Verify how the response of an SDOF system will differ with zero initial conditions versus specific initial conditions during an earthquake simulation.

💡 Hint: Pay attention to how momentary differences can lead to larger oscillations.

Challenge and get performance evaluation