Practice Multi-Degree-of-Freedom (MDOF) Systems - 13.1 | 13. Normal Modes of Vibration | 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.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Multi-Degree-of-Freedom (MDOF) systems.

💡 Hint: Focus on the number of motion directions.

Question 2

Easy

What represents the mass matrix in MDOF systems?

💡 Hint: Think about the weights involved in the structure.

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 MDOF stand for?

  • Multi-Degree-of-Faculty
  • Multi-Degree-of-Freedom
  • Multi-Dimensional-Freedom

💡 Hint: Focus on the degrees of freedom in the system.

Question 2

True or False: MDOF systems cannot be represented in matrix form.

  • True
  • False

💡 Hint: Review how complicated systems are structured.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Analyze a provided MDOF system with 3 degrees of freedom. Sketch the mass and stiffness matrices based on given parameters.

💡 Hint: Use your understanding of mass and stiffness within the system layout.

Question 2

Given a known external force is applied, compute the resultant displacements using the formed matrix equation: [M]{X}'' + [K]{X} = {F(t)}.

💡 Hint: Apply matrix operations carefully to isolate {X}.

Challenge and get performance evaluation